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Avkhadiev, Farit Gabidinovich

Avkhadiev, Farit Gabidinovich
Professor
Doctor of physico-mathematical sciences (1990)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date: 20.08.1947
E-mail:
Website: https://kpfu.ru/Farit.Avhadiev
Keywords: conformal mappings, univalent functions, hyperbolic metric, boundary-value problems, isperimetric inequalities, integral inequalities.
UDC: 517.5, 517.54, 517.544, 517.546, 517.956.225, 517.956, 532.5, 517.548, 517.518.28
MSC: 30F10, 30C55, 30C60

Subject:

Geometric Function Theory. Boundary-value problems for analytic functions. Isoperimetric Inequalities of Mathematical Physics.

   
Main publications:
  1. Avkhadiev F.G., “Reshenie obobschennoi zadachi Sen-Venana”, Matem. sbornik, 189:12 (1998), 3–12  mathnet  crossref  mathscinet  zmath
  2. Avkhadiev F.G. and Wirths K.-J., Schwarz-Pick Type Inequalities, Birkhäuser, Basel–Boston–Berlin, 2009, 156 pp.  mathscinet
  3. Avkhadiev F.G., “Hardy-Rellich inequalities in domains of the Euclidean space”, J. Math Anal. Appl., 442 (2016), 469-484  crossref  mathscinet
  4. Avkhadiev F.G., Konformnye otobrazheniya i kraevye zadachi. 2-e izd., pererab. i dop., Izd-vo Kazanskogo universiteta, Kazan, 2019 https://shelly.kpfu.ru/e-ksu/docs/F_1600811119/monogr_2019_2.pdf, 412 с.
  5. Avkhadiev F.G., Konformno invariantnye neravenstva, Izd-vo Kazanskogo universiteta, Kazan, 2020 https://shelly.kpfu.ru/e-ksu/docs/F940748422/monogr_2020_2.pdf, 260 с.

https://www.mathnet.ru/eng/person8632
List of publications on Google Scholar
https://zbmath.org/authors/ai:avkhadiev.farit-gabidinovich
https://mathscinet.ams.org/mathscinet/MRAuthorID/203291
https://elibrary.ru/author_items.asp?spin=5495-2985
https://orcid.org/0000-0001-6927-7102
https://www.webofscience.com/wos/author/record/L-4832-2015
https://www.scopus.com/authid/detail.url?authorId=6603621048

Publications in Math-Net.Ru Citations
2024
1. F. G. Avkhadiev, “An analog of the Poincaré metric and isoperimetric constants”, Izv. Vyssh. Uchebn. Zaved. Mat., 2024, no. 9,  92–99  mathnet
2023
2. F. G. Avkhadiev, A. R. Kacimov, “Integral estimates of solutions to boundary values problems for the Poisson equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 10,  70–76  mathnet
3. F. G. Avkhadiev, I. R. Kayumov, S. R. Nasyrov, “Extremal problems in geometric function theory”, Uspekhi Mat. Nauk, 78:2(470) (2023),  3–70  mathnet  mathscinet  zmath; Russian Math. Surveys, 78:2 (2023), 211–271  isi  scopus 3
4. F. G. Avkhadiev, “Integral Hardy inequalities, their generalizations and related inequalities”, Ufimsk. Mat. Zh., 15:4 (2023),  3–19  mathnet; Ufa Math. J., 15:4 (2023), 3–20
2022
5. F. G. Avkhadiev, “Embedding theorems related to torsional rigidity and principal frequency”, Izv. RAN. Ser. Mat., 86:1 (2022),  3–35  mathnet  mathscinet  zmath; Izv. Math., 86:1 (2022), 1–31  isi  scopus 7
6. F. G. Avkhadiev, “Hardy-type inequalities with sharp constants in domains lambda-close to convex”, Sibirsk. Mat. Zh., 63:3 (2022),  481–499  mathnet; Siberian Math. J., 63:3 (2022), 395–411 1
7. F. G. Avkhadiev, “Universal inequalities on domains in Euclidean space and their applications”, Ufimsk. Mat. Zh., 14:3 (2022),  3–16  mathnet; Ufa Math. J., 14:3 (2022), 3–16 1
2021
8. F. G. Avkhadiev, “Hardy type inequalities involving gradient of distance function”, Ufimsk. Mat. Zh., 13:3 (2021),  3–16  mathnet; Ufa Math. J., 13:3 (2021), 3–16  isi  scopus 3
2020
9. F. G. Avkhadiev, “Properties and applications of the distance functions on open sets of the Euclidean space”, Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 4,  87–92  mathnet; Russian Math. (Iz. VUZ), 64:4 (2020), 75–79  isi  scopus 5
2019
10. F. G. Avkhadiev, “Conformally invariant inequalities in domains in Euclidean space”, Izv. RAN. Ser. Mat., 83:5 (2019),  3–26  mathnet  mathscinet  zmath  elib; Izv. Math., 83:5 (2019), 909–931  isi  scopus 10
11. F. G. Avkhadiev, “On extremal domains for integral inequalities in the Euclidean space”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 6,  80–84  mathnet; Russian Math. (Iz. VUZ), 63:6 (2019), 74–78  isi  scopus 1
12. F. G. Avkhadiev, “One-parameter monotone functionals connected with Stieltjes integrals”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 4,  3–14  mathnet; Russian Math. (Iz. VUZ), 63:4 (2019), 1–11  isi  scopus
13. F. G. Avkhadiev, R. G. Nasibullin, I. K. Shafigullin, “Conformal invariants of hyperbolic planar domains”, Ufimsk. Mat. Zh., 11:2 (2019),  3–18  mathnet; Ufa Math. J., 11:2 (2019), 3–18  isi  scopus 4
2018
14. F. G. Avkhadiev, “Integral inequalities of Hardy and Rellich in domains satisfying an exterior sphere condition”, Algebra i Analiz, 30:2 (2018),  18–44  mathnet  mathscinet  elib; St. Petersburg Math. J., 30:2 (2019), 161–179  isi  scopus 12
15. F. G. Avkhadiev, “Brezis–Marcus Problem and Its Generalizations”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 153 (2018),  3–12  mathnet  mathscinet; J. Math. Sci. (N. Y.), 252:3 (2021), 291–301 5
16. F. G. Avkhadiev, R. G. Nasibullin, I. K. Shafigullin, “$L_p$-versions of one conformally invariant inequality”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 8,  88–92  mathnet; Russian Math. (Iz. VUZ), 62:8 (2018), 76–79  isi  scopus 5
17. F. G. Avkhadiev, “On Rellich's inequalities in the Euclidean spaces”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 8,  83–87  mathnet; Russian Math. (Iz. VUZ), 62:8 (2018), 71–75  isi  scopus 3
18. F. G. Avkhadiev, “Rellich inequalities for polyharmonic operators in plane domains”, Mat. Sb., 209:3 (2018),  4–33  mathnet  mathscinet  zmath  elib; Sb. Math., 209:3 (2018), 292–319  isi  scopus 7
2017
19. F. G. Avkhadiev, “Conformally invariant inequalities”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 142 (2017),  28–41  mathnet  mathscinet  zmath; Journal of Mathematical Sciences, 241:6 (2019), 672–685 3
20. F. G. Avkhadiev, “The generalized Davies problem for polyharmonic operators”, Sibirsk. Mat. Zh., 58:6 (2017),  1205–1217  mathnet  elib; Siberian Math. J., 58:6 (2017), 932–942  isi  scopus 4
21. F. G. Avkhadiev, “Estimates of Hardy–Rellich constants for polyharmonic operators and their generalizations”, Ufimsk. Mat. Zh., 9:3 (2017),  8–17  mathnet  elib; Ufa Math. J., 9:3 (2017), 8–17  isi  scopus 1
22. F. G. Avkhadiev, P. L. Shabalin, “Conformal mappings of circular domains on finitely-connected non-Smirnov type domains”, Ufimsk. Mat. Zh., 9:1 (2017),  3–17  mathnet  elib; Ufa Math. J., 9:1 (2017), 3–17  isi  scopus
2016
23. F. G. Avkhadiev, R. G. Nasibullin, I. K. Shafigullin, “Becker type univalence conditions for harmonic mappings”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 11,  80–85  mathnet; Russian Math. (Iz. VUZ), 60:11 (2016), 69–73  isi  scopus 8
24. F. G. Avkhadiev, “Rellich type inequalities in domains of the Euclidean space”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 1,  69–73  mathnet; Russian Math. (Iz. VUZ), 60:1 (2016), 60–63  isi  scopus 6
2015
25. F. G. Avkhadiev, “Sharp constants in Hardy type inequalities”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 10,  61–65  mathnet; Russian Math. (Iz. VUZ), 59:10 (2015), 53–56  scopus 6
26. F. G. Avkhadiev, “Hardy type $L_p$-inequalities in $r$-close-to-convex domains”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 1,  84–88  mathnet; Russian Math. (Iz. VUZ), 59:1 (2015), 71–74  scopus 4
27. F. G. Avkhadiev, “Integral inequalities in domains of hyperbolic type and their applications”, Mat. Sb., 206:12 (2015),  3–28  mathnet  mathscinet  zmath  elib; Sb. Math., 206:12 (2015), 1657–1681  isi  scopus 33
2014
28. F. G. Avkhadiev, “A geometric description of domains whose Hardy constant is equal to 1/4”, Izv. RAN. Ser. Mat., 78:5 (2014),  3–26  mathnet  mathscinet  zmath  elib; Izv. Math., 78:5 (2014), 855–876  isi  elib  scopus 34
29. F. G. Avkhadiev, B. S. Timergaliev, “Brunn–Minkowski type inequalities for conformal and Euclidean moments of domains”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 5,  64–67  mathnet; Russian Math. (Iz. VUZ), 58:5 (2014), 53–56  scopus 3
30. F. G. Avkhadiev, I. K. Shafigullin, “Sharp estimates of Hardy constants for domains with special boundary properties”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 2,  69–73  mathnet; Russian Math. (Iz. VUZ), 58:2 (2014), 58–61  scopus 20
31. F. G. Avkhadiev, R. G. Nasibullin, “Hardy-type inequalities in arbitrary domains with finite inner radius”, Sibirsk. Mat. Zh., 55:2 (2014),  239–250  mathnet  mathscinet; Siberian Math. J., 55:2 (2014), 191–200  isi  scopus 22
2013
32. F. G. Avkhadiev, “Families of domains with best possible Hardy constant”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 9,  59–63  mathnet  zmath; Russian Math. (Iz. VUZ), 57:9 (2013), 49–52  scopus 9
33. F. G. Avkhadiev, I. K. Shafigullin, “Estimates of Hardy's constants for tubular extensions of sets and domains with finite boundary moments”, Mat. Tr., 16:2 (2013),  3–12  mathnet  mathscinet; Siberian Adv. Math., 24:3 (2014), 153–158 7
2012
34. F. G. Avkhadiev, “Isoperimetric inequality for torsional rigidity in multidimensional domains”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 7,  45–49  mathnet  mathscinet; Russian Math. (Iz. VUZ), 56:7 (2012), 39–43  scopus 2
2011
35. F. G. Avkhadiev, “Sharp estimates for functions with a pole and a logarithmic singularity”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 12,  71–75  mathnet  mathscinet; Russian Math. (Iz. VUZ), 55:12 (2011), 58–62  scopus
36. F. G. Avkhadiev, R. G. Nasibullin, I. K. Shafigullin, “Hardy-type inequalities with power and logarithmic weights in domains of the Euclidean space”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 9,  90–94  mathnet  mathscinet  zmath  elib; Russian Math. (Iz. VUZ), 55:9 (2011), 76–79  scopus 17
2007
37. F. G. Avkhadiev, A. N. Chuprunov, “The probability of a successful allocation of ball groups by boxes”, Lobachevskii J. Math., 25 (2007),  3–7  mathnet  mathscinet  zmath 6
2006
38. F. G. Avkhadiev, “Hardy type inequalities in higher dimensions with explicit estimate of constants”, Lobachevskii J. Math., 21 (2006),  3–31  mathnet  mathscinet  zmath  elib 35
39. F. G. Avkhadiev, “Hardy-Type Inequalities on Planar and Spatial Open Sets”, Trudy Mat. Inst. Steklova, 255 (2006),  8–18  mathnet  mathscinet  zmath  elib; Proc. Steklov Inst. Math., 255 (2006), 2–12  scopus 52
2005
40. F. G. Avkhadiev, K.-J. Wirths, “Concave schlicht functions with bounded opening angle at infinity”, Lobachevskii J. Math., 17 (2005),  3–10  mathnet  mathscinet  zmath 1
2004
41. F. G. Avkhadiev, “New isoperimetric inequalities for moments of domains and torsional rigidity”, Izv. Vyssh. Uchebn. Zaved. Mat., 2004, no. 7,  3–11  mathnet  mathscinet  zmath  elib; Russian Math. (Iz. VUZ), 48:7 (2004), 1–9 3
2002
42. F. G. Avkhadiev, K.-J. Wirths, “On the coefficient multipliers theorem of Hardy and Littlewood”, Lobachevskii J. Math., 11 (2002),  7–12  mathnet  mathscinet  zmath
43. F. G. Avkhadiev, D. V. Maklakov, “New Equations of Convolution Type Obtained by Replacing the Integral by Its Maximum”, Mat. Zametki, 71:1 (2002),  18–26  mathnet  mathscinet  zmath; Math. Notes, 71:1 (2002), 17–24  isi  scopus 1
2001
44. F. G. Avkhadiev, R. G. Salahudinov, “Bilateral isoperimetric inequalities for boundary moments of plane domains”, Lobachevskii J. Math., 9 (2001),  3–5  mathnet  mathscinet  zmath 1
1998
45. F. G. Avkhadiev, “Solution of the generalized Saint Venant problem”, Mat. Sb., 189:12 (1998),  3–12  mathnet  mathscinet  zmath; Sb. Math., 189:12 (1998), 1739–1748  isi  scopus 49
1997
46. F. G. Avkhadiev, L. A. Aksent'ev, G. G. Bilchenko, “Classes of univalent and multivalent Christoffel-Schwarz integrals and their applications”, Izv. Vyssh. Uchebn. Zaved. Mat., 1997, no. 3,  64–67  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 41:3 (1997), 63–66 1
1996
47. F. G. Avkhadiev, I. R. Kayumov, “Estimates in the Bloch class and their generalizations”, Dokl. Akad. Nauk, 349:5 (1996),  583–585  mathnet  mathscinet  zmath 3
48. F. G. Avkhadiev, “Conformal mappings that satisfy the boundary condition of the equality of metrics”, Dokl. Akad. Nauk, 347:3 (1996),  295–297  mathnet  mathscinet  zmath
49. F. G. Avkhadiev, A. M. Elizarov, “Sharp estimates for the solution of a variational inverse boundary value problem in a countably connected domain”, Izv. Vyssh. Uchebn. Zaved. Mat., 1996, no. 3,  3–13  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 40:2 (1996), 1–11 2
1995
50. F. G. Avkhadiev, D. V. Maklakov, “An analytic method for constructing hydrofoil designs from a given cavitation diagram”, Dokl. Akad. Nauk, 343:2 (1995),  195–197  mathnet  mathscinet  zmath; Dokl. Math., 40:7 (1995), 356–358 2
1994
51. F. G. Avkhadiev, S. B. Shabalina, “Zeros of coefficients of transformations and conditions for the solvability of inverse boundary value problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 1994, no. 8,  3–10  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 38:8 (1994), 1–9 1
52. F. G. Avkhadiev, D. V. Maklakov, “A criterion for the solvability of the problem of constructing wing profiles based on a cavitation diagram”, Izv. Vyssh. Uchebn. Zaved. Mat., 1994, no. 7,  3–12  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 38:7 (1994), 1–10 4
53. F. G. Avkhadiev, L. I. Shokleva, “Generalizations of a theorem of Beurling and their applications to inverse boundary value problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 1994, no. 5,  80–83  mathnet  mathscinet  zmath; Russian Math. (Iz. VUZ), 38:5 (1994), 78–81
1992
54. F. G. Avkhadiev, “The Minkowski functional over ranges of values of the logarithm of the derivative, and univalence conditions”, Trudy Sem. Kraev. Zadacham, 27 (1992),  3–21  mathnet  mathscinet  zmath 2
1991
55. F. G. Avkhadiev, “Conditions for the univalence of the solution in problems of constructing wing profiles”, Trudy Sem. Kraev. Zadacham, 26 (1991),  3–19  mathnet  mathscinet  zmath
1990
56. F. G. Avkhadiev, “Metrics with variable density, and inverse boundary value problems”, Trudy Sem. Kraev. Zadacham, 25 (1990),  3–23  mathnet  mathscinet  zmath
57. F. G. Avkhadiev, L. A. Aksent'ev, A. M. Elizarov, “Conditions for the univalence of solutions of applied inverse boundary value problems. II”, Trudy Sem. Kraev. Zadacham, 24 (1990),  14–38  mathnet  mathscinet
58. F. G. Avkhadiev, “Univalent solutions of inverse boundary value problems in hydro-aerodynamics”, Trudy Sem. Kraev. Zadacham, 24 (1990),  3–14  mathnet  mathscinet
1989
59. F. G. Avkhadiev, “Estimates in the Zygmund class and their application to boundary value problems”, Dokl. Akad. Nauk SSSR, 307:6 (1989),  1289–1292  mathnet  mathscinet  zmath; Dokl. Math., 40:1 (1990), 217–220 1
60. F. G. Avkhadiev, “Admissible functionals in injectivity conditions for differentiable mappings of $n$-dimensional domains”, Izv. Vyssh. Uchebn. Zaved. Mat., 1989, no. 4,  3–12  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 33:4 (1989), 1–12 3
1987
61. F. G. Avkhadiev, “Injectivity in the domain of open isolated mappings with given boundary properties”, Dokl. Akad. Nauk SSSR, 292:4 (1987),  780–783  mathnet  mathscinet  zmath 2
62. F. G. Avkhadiev, L. A. Aksent'ev, A. M. Elizarov, “Sufficient conditions for the finite-valence of analytic functions, and their applications”, Itogi Nauki i Tekhn. Ser. Mat. Anal., 25 (1987),  3–121  mathnet  mathscinet  zmath; J. Soviet Math., 49:1 (1990), 715–799 12
63. F. G. Avkhadiev, L. A. Aksent'ev, A. M. Elizarov, “Conditions for the univalence of solutions of applied inverse boundary value problems. I”, Trudy Sem. Kraev. Zadacham, 23 (1987),  6–24  mathnet  mathscinet
1986
64. F. G. Avkhadiev, L. A. Aksent'ev, “Achievements and problems in sufficient conditions for finite-valence of analytic functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 1986, no. 10,  3–16  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 30:10 (1986), 1–20 1
65. F. G. Avkhadiev, S. R. Nasyrov, “Construction of a Riemann surface from its boundary”, Izv. Vyssh. Uchebn. Zaved. Mat., 1986, no. 5,  3–11  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 30:5 (1986), 1–12 1
1985
66. F. G. Avkhadiev, S. R. Nasyrov, “Necessary conditions for the existence of a Riemann surface with a given boundary”, Trudy Sem. Kraev. Zadacham, 22 (1985),  6–15  mathnet  mathscinet  zmath 1
1984
67. F. G. Avkhadiev, “An inverse boundary value problem for a function with singularities”, Trudy Sem. Kraev. Zadacham, 21 (1984),  5–19  mathnet  mathscinet  zmath 2
1983
68. F. G. Avkhadiev, “Some geometric inequalities and sufficient conditions for $p$-valence”, Izv. Vyssh. Uchebn. Zaved. Mat., 1983, no. 10,  3–12  mathnet  mathscinet  zmath; Soviet Math. (Iz. VUZ), 27:10 (1983), 1–13
69. F. G. Avkhadiev, “Method of locally homeomorphic extension in the theory of sufficient conditions for univalence”, Trudy Sem. Kraev. Zadacham, 20 (1983),  3–10  mathnet  mathscinet  zmath
70. F. G. Avkhadiev, “Univalence of mappings with given properties”, Trudy Sem. Kraev. Zadacham, 19 (1983),  3–14  mathnet  mathscinet  zmath
1976
71. F. G. Avkhadiev, N. B. Salimov, “Univalent solvability of the inverse problem of blast theory”, Trudy Sem. Kraev. Zadacham, 13 (1976),  24–29  mathnet  mathscinet
72. F. G. Avkhadiev, “Singular cases of the principle of correspondence of boundaries”, Trudy Sem. Kraev. Zadacham, 13 (1976),  13–23  mathnet  mathscinet
1975
73. F. G. Avkhadiev, “Sufficient conditions for the univalence of quasiconformal mappings”, Mat. Zametki, 18:6 (1975),  793–802  mathnet  mathscinet  zmath; Math. Notes, 18:6 (1975), 1063–1067 4
74. F. G. Avkhadiev, L. A. Aksent'ev, “The main results on sufficient cjnditions for an analytic function to be schlicht”, Uspekhi Mat. Nauk, 30:4(184) (1975),  3–60  mathnet  mathscinet  zmath; Russian Math. Surveys, 30:4 (1975), 1–63 46
1974
75. F. G. Avkhadiev, L. A. Aksent'ev, “Functions of the Bazilevic class in the disc and in an annulus”, Dokl. Akad. Nauk SSSR, 214:2 (1974),  241–244  mathnet  mathscinet  zmath 1
76. F. G. Avkhadiev, “Some univalent mappings of the half-plane”, Trudy Sem. Kraev. Zadacham, 11 (1974),  3–8  mathnet  mathscinet 1
77. F. G. Avkhadiev, “Sufficient conditions for univalence in nonconvex domains”, Sibirsk. Mat. Zh., 15:5 (1974),  963–971  mathnet  mathscinet  zmath; Siberian Math. J., 15:5 (1974), 679–685 1
1973
78. F. G. Avkhadiev, L. A. Aksent'ev, “The subordination principle in sufficient conditions for univalence”, Dokl. Akad. Nauk SSSR, 211:1 (1973),  19–22  mathnet  mathscinet  zmath 1
79. F. G. Avkhadiev, “On the weak and the strong problem of univalence in inverse boundary value problems”, Trudy Sem. Kraev. Zadacham, 10 (1973),  3–10  mathnet  mathscinet  zmath 5
1972
80. F. G. Avkhadiev, “Some sufficient conditions for the univalence of analytic functions”, Trudy Sem. Kraev. Zadacham, 9 (1972),  3–11  mathnet  mathscinet  zmath 2
1971
81. F. G. Avkhadiev, L. A. Aksent'ev, “Sufficient conditions for univalence of analytic functions”, Dokl. Akad. Nauk SSSR, 198:4 (1971),  743–746  mathnet  mathscinet  zmath 2
82. F. G. Avkhadiev, “Some sufficient conditions for the univalence of the solutions to applied inverse boundary value problems”, Trudy Sem. Kraev. Zadacham, 8 (1971),  3–11  mathnet  mathscinet  zmath 1
1970
83. F. G. Avkhadiev, “On sufficient conditions for the univalence of the solutions of inverse boundary value problems”, Dokl. Akad. Nauk SSSR, 190:3 (1970),  495–498  mathnet  mathscinet  zmath 2
84. F. G. Avkhadiev, “Conditions for the univalence of analytic functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 1970, no. 11,  3–13  mathnet  mathscinet  zmath 5
85. L. A. Aksent'ev, F. G. Avkhadiev, “A certain class of univalent functions”, Izv. Vyssh. Uchebn. Zaved. Mat., 1970, no. 10,  12–20  mathnet  mathscinet  zmath 4
86. F. G. Avkhadiev, “Application of the Schwarzian derivative for the study of the univalent solvability of inverse boundary value problems”, Trudy Sem. Kraev. Zadacham, 7 (1970),  78–80  mathnet  mathscinet  zmath
87. F. G. Avkhadiev, “Radii of convexity and close-to-convexity of certain integral representations”, Mat. Zametki, 7:5 (1970),  581–592  mathnet  mathscinet  zmath; Math. Notes, 7:5 (1970), 350–357 5
1968
88. F. G. Avkhadiev, V. N. Gaiduk, “An application of close-to-convex functions to inverse boundary value problems”, Izv. Vyssh. Uchebn. Zaved. Mat., 1968, no. 6,  3–10  mathnet  mathscinet  zmath 3

2021
89. N. R. Abubakirov, F. G. Avkhadiev, A. V. Aminova, M. M. Arslanov, A. M. Bikchentaev, V. V. Vasin, F. N. Garif'yanov, A. M. Denisov, A. M. Elizarov, N. K. Zamov, B. A. Kats, O. A. Kashina, D. V. Maklakov, V. P. Maksimov, S. R. Nasyrov, N. I. Popov, L. G. Salekhov, R. B. Salimov, S. G. Samko, N. Temirgaliev, E. A. Turilova, Yu. E. Hohlov, P. L. Shabalin, L. N. Shevrin, A. N. Sherstnev, E. A. Shirokova, V. V. Shurygin, “Leonid Aleksandrovich Aksent'ev”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 3,  98–100  mathnet
2014
90. F. G. Avkhadiev, V. A. Botvinnik, S. K. Vodop'yanov, M. Vuorinen, V. M. Gol'dstein, V. V. Goryainov, A. A. Grigor'yan, V. N. Dubinin, I. V. Zhuravlev, V. A. Zorich, V. M. Kesel'man, A. A. Klyachin, V. A. Klyachin, T. G. Latfullin, A. V. Loboda, A. G. Losev, O. Martio, V. I. Pelikh, S. I. Pinchuk, Yu. G. Reshetnyak, A. S. Romanov, A. G. Sergeev, V. G. Tkachev, E. M. Chirka, “Vladimir Mikhailovich Miklyukov (obituary)”, Uspekhi Mat. Nauk, 69:3(417) (2014),  173–176  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 69:3 (2014), 565–568  isi

Presentations in Math-Net.Ru
1. Интегральные неравенства, инвариантные при конформных преобразованиях
F. G. Avkhadiev
International conference “Theory of Functions, Operator Theory and Quantum Information Theory”
June 10, 2024 12:40   
2. О двух проблемах геометрического анализа, относящихся к теоремам вложения в весовых пространствах Соболева
F. G. Avkhadiev

May 30, 2024 09:00
3. Conformally invariant integral inequalities
F. G. Avkhadiev
International Conference on Complex Analysis Dedicated to the Memory of Andrei Gonchar and Anatoliy Vitushkin
November 24, 2023 11:00   
4. Criteria for the Positivity of Constants in Hardy and Rellich Type Inequalities
F. G. Avkhadiev
International Conference "Theory of Functions, Operator Theory and Quantum Information Theory"
June 1, 2023 12:15   
5. Integral inequalities of Hardy, their generalizations and related inequalities
F. G. Avkhadiev
International Conference "Functions Theory, Operators Theory and Quantum Information Theory"
October 19, 2022 12:15   
6. Some open problems on Hardy-Rellich type inequalities in plane domains
F. G. Avkhadiev
Virtual Workshop “Complex Analysis and Geometry”
November 18, 2021 15:00   
7. Неравенства типа Харди в слабо выпуклых областях
F. G. Avkhadiev
Function Theory, Operator Theory and Quantum Information Theory
October 7, 2021 14:15   
8. Rellich type inequalities for polyharmonic operators in plane domains
F. G. Avkhadiev
Seminar on Complex Analysis (Gonchar Seminar)
November 14, 2016 17:00
9. Hardy–Rellich type inequalities in domains of the Euclidean space
F. G. Avkhadiev
Seminar on Complex Analysis (Gonchar Seminar)
November 16, 2015 18:00
10. Геометрическое описание областей с максимальными константами Харди
F. G. Avkhadiev
International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii
May 25, 2015 16:40

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