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Volberg, Alexander L'vovich

E-mail:
Website: http://www.math.msu.edu/~volberg/

https://www.mathnet.ru/eng/person22614
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/204644

Publications in Math-Net.Ru Citations
2022
1. D. Vardakis, A. Volberg, “Free boundary problems via Sakai's theorem”, Algebra i Analiz, 34:3 (2022),  252–275  mathnet; St. Petersburg Math. J., 34:3 (2023), 497–514
2021
2. D. Vardakis, A. Volberg, “Geometry of planar curves intersecting many lines in a few points”, Algebra i Analiz, 33:6 (2021),  214–234  mathnet; St. Petersburg Math. J., 33:6 (2022), 1047–1062
3. V. I. Vasyunin, A. L. Volberg, F. L. Nazarov, “Bellman function related to the Chang–Wilson–Wolff theorem: a case study”, Algebra i Analiz, 33:4 (2021),  66–106  mathnet; St. Petersburg Math. J., 33:4 (2022), 633–659
2015
4. A. Volberg, “The proof of the nonhomogeneous $T1$ theorem via averaging of dyadic shifts”, Algebra i Analiz, 27:3 (2015),  75–94  mathnet  mathscinet  elib; St. Petersburg Math. J., 27:3 (2016), 399–413  isi  scopus 2
2013
5. A. L. Volberg, V. Ya. Èiderman, “Non-homogeneous harmonic analysis: 16 years of development”, Uspekhi Mat. Nauk, 68:6(414) (2013),  3–58  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 68:6 (2013), 973–1026  isi  elib  scopus 13
2012
6. B. Jaye, F. Nazarov, A. Volberg, “The fractional Riesz transform and an exponential potential”, Algebra i Analiz, 24:6 (2012),  77–123  mathnet  mathscinet  zmath  elib; St. Petersburg Math. J., 24:6 (2013), 903–938  isi  scopus 8
2010
7. F. Nazarov, Y. Peres, A. Volberg, “The power law for the Buffon needle probability of the four-corner Cantor set”, Algebra i Analiz, 22:1 (2010),  82–97  mathnet  mathscinet  zmath  elib; St. Petersburg Math. J., 22:1 (2011), 61–72  isi  scopus 13
2006
8. V. Vasyunin, A. Vol'berg, “The Bellman functions for a certain two-weight inequality: A case study”, Algebra i Analiz, 18:2 (2006),  24–56  mathnet  mathscinet  zmath; St. Petersburg Math. J., 18:2 (2007), 201–222 33
9. A. L. Vol'berg, F. Peherstorfer, P. M. Yuditskii, “Asymptotics of Orthogonal Polynomials Beyond the Scope of Szegő's Theorem”, Funktsional. Anal. i Prilozhen., 40:4 (2006),  22–32  mathnet  mathscinet  zmath  elib; Funct. Anal. Appl., 40:4 (2006), 264–272  isi  scopus 1
2003
10. A. L. Vol'berg, F. L. Nazarov, “Heating of the Beurling operator and the estimates of its norm”, Algebra i Analiz, 15:4 (2003),  142–158  mathnet  mathscinet  zmath; St. Petersburg Math. J., 15:4 (2004), 563–573 66
2002
11. F. Nazarov, M. Sodin, A. Vol'berg, “The geometric Kannan–Lovász–Simonovits lemma, dimension-free estimates for volumes of sublevel sets of polynomials, and distribution of zeros of random analytic functions”, Algebra i Analiz, 14:2 (2002),  214–234  mathnet  mathscinet  zmath; St. Petersburg Math. J., 14:2 (2003), 351–366 50
2000
12. T. A. Gillespi, S. Pott, S. R. Treil', A. L. Vol'berg, “The transfer method in estimates for vector Hankel operators”, Algebra i Analiz, 12:6 (2000),  178–193  mathnet  mathscinet  zmath; St. Petersburg Math. J., 12:6 (2001), 1013–1024 7
1997
13. A. L. Vol'berg, I. Popovichi, “On the harmonic measure on the Julia set of Blaschke products with one petal”, Algebra i Analiz, 9:3 (1997),  150–197  mathnet  mathscinet  zmath; St. Petersburg Math. J., 9:3 (1998), 553–594 1
1995
14. S. R. Treil, A. L. Volberg, “Weighted embeddings and weighted norm inequalities for the Hilbert transform and the maximal operator”, Algebra i Analiz, 7:6 (1995),  205–226  mathnet  mathscinet  zmath; St. Petersburg Math. J., 7:6 (1996), 1017–1032 7
15. A. A. Borichev, A. L. Vol'berg, “The finiteness of limit cycles, and uniqueness theorems for asymptotically holomorphic functions”, Algebra i Analiz, 7:3 (1995),  43–75  mathnet  mathscinet  zmath; St. Petersburg Math. J., 7:3 (1996), 343–368
1993
16. A. L. Volberg, “Rapidly growing functions with empty spectrum and a gap in the support”, Algebra i Analiz, 5:3 (1993),  77–99  mathnet  mathscinet  zmath; St. Petersburg Math. J., 5:3 (1994), 485–503
1990
17. A. L. Vol'berg, V. V. Peller, D. V. Yakubovich, “A brief excursion into the theory of hyponormal operators”, Algebra i Analiz, 2:2 (1990),  1–38  mathnet  mathscinet  zmath; Leningrad Math. J., 2:2 (1991), 211–243
18. A. L. Volberg, “The Lojasiewicz inequality for very smooth functions”, Dokl. Akad. Nauk SSSR, 310:6 (1990),  1289–1293  mathnet  mathscinet  zmath; Dokl. Math., 41:1 (1990), 170–174
1989
19. A. A. Borichev, A. L. Vol'berg, “Uniqueness theorems for almost analytic functions”, Algebra i Analiz, 1:1 (1989),  146–177  mathnet  mathscinet  zmath; Leningrad Math. J., 1:1 (1990), 157–191 1
20. A. L. Vol'berg, B. M. Solomyak, “Spectral multiplicity of the operator of multiplication by a matrix-valued function”, Funktsional. Anal. i Prilozhen., 23:3 (1989),  55–56  mathnet  mathscinet  zmath; Funct. Anal. Appl., 23:3 (1989), 215–216  isi
1987
21. A. L. Vol'berg, M. Z. Solomyak, “Multiplicity of the spectrum of Toeplitz operators, weighted cocycles and the vector Riemann problem”, Funktsional. Anal. i Prilozhen., 21:3 (1987),  1–10  mathnet  mathscinet  zmath; Funct. Anal. Appl., 21:3 (1987), 175–183  isi 2
22. A. L. Vol'berg, S. V. Konyagin, “On measures with the doubling condition”, Izv. Akad. Nauk SSSR Ser. Mat., 51:3 (1987),  666–675  mathnet  mathscinet  zmath; Math. USSR-Izv., 30:3 (1988), 629–638  isi 41
1986
23. A. L. Vol'berg, B. Jöricke, “Summability of the logarithm of an almost analytic function and a generalization of the Levinson–Cartwright theorem”, Mat. Sb. (N.S.), 130(172):3(7) (1986),  335–348  mathnet  mathscinet  zmath; Math. USSR-Sb., 58:2 (1987), 337–349 11
24. A. L. Vol'berg, S. R. Treil', “Imbedding theorems for invariant subspaces of backward shift operator.”, Zap. Nauchn. Sem. LOMI, 149 (1986),  38–51  mathnet  zmath 9
1985
25. A. L. Vol'berg, “A constructive proof of the Chang-Marshall theorem”, Zap. Nauchn. Sem. LOMI, 141 (1985),  149–153  mathnet  mathscinet  zmath; J. Soviet Math., 37:5 (1987), 1350–1352
26. A. L. Vol'berg, V. A. Tolokonnikov, “Hankel operators and problems of best approximation of unbounded functions”, Zap. Nauchn. Sem. LOMI, 141 (1985),  5–17  mathnet  mathscinet  zmath; J. Soviet Math., 37:5 (1987), 1269–1275 2
1984
27. A. L. Volberg, S. V. Konyagin, “A homogeneous measure exists on any compactum in $\mathbf{R}^n$”, Dokl. Akad. Nauk SSSR, 278:4 (1984),  783–786  mathnet  mathscinet  zmath 2
28. A. L. Volberg, “Denseness of polynomials on a system of rays”, Dokl. Akad. Nauk SSSR, 275:5 (1984),  1049–1055  mathnet  mathscinet  zmath 1
29. A. L. Vol'berg, V. A. Tolokonnikov, “Certain remarks on the multiplicators of the cauchy type integrals and Sarason algebras”, Funktsional. Anal. i Prilozhen., 18:2 (1984),  61–62  mathnet  mathscinet  zmath; Funct. Anal. Appl., 18:2 (1984), 137–138  isi
1983
30. A. L. Vol'berg, “Weighted density of polynomials on the line for strongly non-symmetric weights”, Zap. Nauchn. Sem. LOMI, 126 (1983),  47–54  mathnet  mathscinet  zmath
1982
31. A. L. Volberg, “The logarithm of an almost analytic function is summable”, Dokl. Akad. Nauk SSSR, 265:6 (1982),  1297–1302  mathnet  mathscinet  zmath 4
1981
32. A. L. Vol'berg, “Completeness of rational quotients in weighted Lp-spaces on a circle”, Funktsional. Anal. i Prilozhen., 15:2 (1981),  69–70  mathnet  mathscinet  zmath; Funct. Anal. Appl., 15:2 (1981), 130–132  isi
33. A. L. Vol'berg, “The comparative strength of integral norms on subspaces of pseudo-extendable functions in the space $H^p$”, Uspekhi Mat. Nauk, 36:6(222) (1981),  205–206  mathnet  mathscinet  zmath; Russian Math. Surveys, 36:6 (1981), 203–204  isi 1
1979
34. A. L. Vol'berg, “The simultaneous approximation by polynomials on the circle and in the interior of the disc”, Zap. Nauchn. Sem. LOMI, 92 (1979),  60–84  mathnet  mathscinet  zmath 1
1978
35. A. L. Volberg, “Mean square completeness of polynomials beyond the scope of Szegö's theorem”, Dokl. Akad. Nauk SSSR, 241:3 (1978),  521–524  mathnet  mathscinet  zmath 2

1991
36. A. L. Vol'berg, “J. William Helton. “Operator Theory, Analytic Functions, Matrices, and Electrical Engineering”. CBMS Regional Conf. Series in Math. N 68. American Math. Society, 1987. 134 p.; Bruce A. Francis "A Course in $H^{\infty}$ Control Theory". Lecture Notes in Control and Information Sciences. Vol. 88. Springer, 1987. 156 p.”, Algebra i Analiz, 3:3 (1991),  216–222  mathnet

Presentations in Math-Net.Ru
1. Strange property of positive measures and bi-linear estimates on multi-trees
A. L. Volberg
Analysis days in Sirius
October 26, 2021 16:55
2. Geometric Measure Theory and fine structure of harmonic measure
A. L. Volberg
Geometric Measure Theory and Geometric Analysis in Moscow
September 16, 2020 17:00   

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