F. G. Avkhadiev, “An analog of the Poincaré metric and isoperimetric constants”, Izv. Vyssh. Uchebn. Zaved. Mat., 2024, no. 9, 92–99
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
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; Russian Math. Surveys, 78:2 (2023), 211–271
F. G. Avkhadiev, “Integral Hardy inequalities, their generalizations and related inequalities”, Ufimsk. Mat. Zh., 15:4 (2023), 3–19; 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; Izv. Math., 86:1 (2022), 1–31
F. G. Avkhadiev, “Hardy-type inequalities with sharp constants in domains lambda-close to convex”, Sibirsk. Mat. Zh., 63:3 (2022), 481–499; Siberian Math. J., 63:3 (2022), 395–411
F. G. Avkhadiev, “Universal inequalities on domains in Euclidean space and their applications”, Ufimsk. Mat. Zh., 14:3 (2022), 3–16; Ufa Math. J., 14:3 (2022), 3–16
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; Russian Math. (Iz. VUZ), 64:4 (2020), 75–79
F. G. Avkhadiev, “On extremal domains for integral inequalities in the Euclidean space”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 6, 80–84; Russian Math. (Iz. VUZ), 63:6 (2019), 74–78
F. G. Avkhadiev, “One-parameter monotone functionals connected with Stieltjes integrals”, Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 4, 3–14; Russian Math. (Iz. VUZ), 63:4 (2019), 1–11
13.
F. G. Avkhadiev, R. G. Nasibullin, I. K. Shafigullin, “Conformal invariants of hyperbolic planar domains”, Ufimsk. Mat. Zh., 11:2 (2019), 3–18; Ufa Math. J., 11:2 (2019), 3–18
F. G. Avkhadiev, “Integral inequalities of Hardy and Rellich in domains satisfying an exterior sphere condition”, Algebra i Analiz, 30:2 (2018), 18–44; St. Petersburg Math. J., 30:2 (2019), 161–179
F. G. Avkhadiev, “Brezis–Marcus Problem and Its Generalizations”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 153 (2018), 3–12; J. Math. Sci. (N. Y.), 252:3 (2021), 291–301
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; Russian Math. (Iz. VUZ), 62:8 (2018), 76–79
F. G. Avkhadiev, “Conformally invariant inequalities”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 142 (2017), 28–41; Journal of Mathematical Sciences, 241:6 (2019), 672–685
F. G. Avkhadiev, “The generalized Davies problem for polyharmonic operators”, Sibirsk. Mat. Zh., 58:6 (2017), 1205–1217; Siberian Math. J., 58:6 (2017), 932–942
F. G. Avkhadiev, “Estimates of Hardy–Rellich constants for polyharmonic operators and their generalizations”, Ufimsk. Mat. Zh., 9:3 (2017), 8–17; Ufa Math. J., 9:3 (2017), 8–17
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; Ufa Math. J., 9:1 (2017), 3–17
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; Russian Math. (Iz. VUZ), 60:11 (2016), 69–73
F. G. Avkhadiev, “Rellich type inequalities in domains of the Euclidean space”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 1, 69–73; Russian Math. (Iz. VUZ), 60:1 (2016), 60–63
F. G. Avkhadiev, “Integral inequalities in domains of hyperbolic type and their applications”, Mat. Sb., 206:12 (2015), 3–28; Sb. Math., 206:12 (2015), 1657–1681
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; Russian Math. (Iz. VUZ), 58:5 (2014), 53–56
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; Russian Math. (Iz. VUZ), 58:2 (2014), 58–61
F. G. Avkhadiev, R. G. Nasibullin, “Hardy-type inequalities in arbitrary domains with finite inner radius”, Sibirsk. Mat. Zh., 55:2 (2014), 239–250; Siberian Math. J., 55:2 (2014), 191–200
F. G. Avkhadiev, “Families of domains with best possible Hardy constant”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 9, 59–63; Russian Math. (Iz. VUZ), 57:9 (2013), 49–52
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; Siberian Adv. Math., 24:3 (2014), 153–158
F. G. Avkhadiev, “Sharp estimates for functions with a pole and a logarithmic singularity”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 12, 71–75; Russian Math. (Iz. VUZ), 55:12 (2011), 58–62
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; Russian Math. (Iz. VUZ), 55:9 (2011), 76–79
F. G. Avkhadiev, “Hardy-Type Inequalities on Planar and Spatial Open Sets”, Trudy Mat. Inst. Steklova, 255 (2006), 8–18; Proc. Steklov Inst. Math., 255 (2006), 2–12
F. G. Avkhadiev, K.-J. Wirths, “On the coefficient multipliers theorem of Hardy and Littlewood”, Lobachevskii J. Math., 11 (2002), 7–12
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; Math. Notes, 71:1 (2002), 17–24
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; Russian Math. (Iz. VUZ), 41:3 (1997), 63–66
F. G. Avkhadiev, “Conformal mappings that satisfy the boundary condition of the
equality of metrics”, Dokl. Akad. Nauk, 347:3 (1996), 295–297
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; Russian Math. (Iz. VUZ), 40:2 (1996), 1–11
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; Dokl. Math., 40:7 (1995), 356–358
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; Russian Math. (Iz. VUZ), 38:8 (1994), 1–9
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; Russian Math. (Iz. VUZ), 38:7 (1994), 1–10
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; 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
F. G. Avkhadiev, “Conditions for the univalence of the solution in problems of constructing wing profiles”, Trudy Sem. Kraev. Zadacham, 26 (1991), 3–19
1990
56.
F. G. Avkhadiev, “Metrics with variable density, and inverse boundary value problems”, Trudy Sem. Kraev. Zadacham, 25 (1990), 3–23
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
58.
F. G. Avkhadiev, “Univalent solutions of inverse boundary value problems in hydro-aerodynamics”, Trudy Sem. Kraev. Zadacham, 24 (1990), 3–14
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; Dokl. Math., 40:1 (1990), 217–220
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; J. Soviet Math., 49:1 (1990), 715–799
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
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; Soviet Math. (Iz. VUZ), 30:10 (1986), 1–20
F. G. Avkhadiev, S. R. Nasyrov, “Construction of a Riemann surface from its boundary”, Izv. Vyssh. Uchebn. Zaved. Mat., 1986, no. 5, 3–11; Soviet Math. (Iz. VUZ), 30:5 (1986), 1–12
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
F. G. Avkhadiev, “Some geometric inequalities and sufficient conditions for $p$-valence”, Izv. Vyssh. Uchebn. Zaved. Mat., 1983, no. 10, 3–12; 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
70.
F. G. Avkhadiev, “Univalence of mappings with given properties”, Trudy Sem. Kraev. Zadacham, 19 (1983), 3–14
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
72.
F. G. Avkhadiev, “Singular cases of the principle of correspondence of boundaries”, Trudy Sem. Kraev. Zadacham, 13 (1976), 13–23
1975
73.
F. G. Avkhadiev, “Sufficient conditions for the univalence of quasiconformal mappings”, Mat. Zametki, 18:6 (1975), 793–802; Math. Notes, 18:6 (1975), 1063–1067
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; Russian Math. Surveys, 30:4 (1975), 1–63
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
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
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
87.
F. G. Avkhadiev, “Radii of convexity and close-to-convexity of certain integral representations”, Mat. Zametki, 7:5 (1970), 581–592; Math. Notes, 7:5 (1970), 350–357
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
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
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; Russian Math. Surveys, 69:3 (2014), 565–568
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
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