Volberg Alexander L'vovich

Publications in Math-Net.Ru

1. Free boundary problems via Sakai's theorem
   
   Algebra i Analiz, 34:3 (2022),  252–275
2. Geometry of planar curves intersecting many lines in a few points
   
   Algebra i Analiz, 33:6 (2021),  214–234
3. Bellman function related to the Chang–Wilson–Wolff theorem: a case study
   
   Algebra i Analiz, 33:4 (2021),  66–106
4. The proof of the nonhomogeneous $T1$ theorem via averaging of dyadic shifts
   
   Algebra i Analiz, 27:3 (2015),  75–94
5. Non-homogeneous harmonic analysis: 16 years of development
   
   Uspekhi Mat. Nauk, 68:6(414) (2013),  3–58
6. The fractional Riesz transform and an exponential potential
   
   Algebra i Analiz, 24:6 (2012),  77–123
7. The power law for the Buffon needle probability of the four-corner Cantor set
   
   Algebra i Analiz, 22:1 (2010),  82–97
8. The Bellman functions for a certain two-weight inequality: A case study
   
   Algebra i Analiz, 18:2 (2006),  24–56
9. Asymptotics of Orthogonal Polynomials Beyond the Scope of Szegő's Theorem
   
   Funktsional. Anal. i Prilozhen., 40:4 (2006),  22–32
10. Heating of the Beurling operator and the estimates of its norm
    
    Algebra i Analiz, 15:4 (2003),  142–158
11. 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
12. The transfer method in estimates for vector Hankel operators
    
    Algebra i Analiz, 12:6 (2000),  178–193
13. On the harmonic measure on the Julia set of Blaschke products with one petal
    
    Algebra i Analiz, 9:3 (1997),  150–197
14. Weighted embeddings and weighted norm inequalities for the Hilbert transform and the maximal operator
    
    Algebra i Analiz, 7:6 (1995),  205–226
15. The finiteness of limit cycles, and uniqueness theorems for asymptotically holomorphic functions
    
    Algebra i Analiz, 7:3 (1995),  43–75
16. Rapidly growing functions with empty spectrum and a gap in the support
    
    Algebra i Analiz, 5:3 (1993),  77–99
17. A brief excursion into the theory of hyponormal operators
    
    Algebra i Analiz, 2:2 (1990),  1–38
18. The Lojasiewicz inequality for very smooth functions
    
    Dokl. Akad. Nauk SSSR, 310:6 (1990),  1289–1293
19. Uniqueness theorems for almost analytic functions
    
    Algebra i Analiz, 1:1 (1989),  146–177
20. Spectral multiplicity of the operator of multiplication by a matrix-valued function
    
    Funktsional. Anal. i Prilozhen., 23:3 (1989),  55–56
21. Multiplicity of the spectrum of Toeplitz operators, weighted cocycles and the vector Riemann problem
    
    Funktsional. Anal. i Prilozhen., 21:3 (1987),  1–10
22. On measures with the doubling condition
    
    Izv. Akad. Nauk SSSR Ser. Mat., 51:3 (1987),  666–675
23. 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
24. Imbedding theorems for invariant subspaces of backward shift operator.
    
    Zap. Nauchn. Sem. LOMI, 149 (1986),  38–51
25. A constructive proof of the Chang-Marshall theorem
    
    Zap. Nauchn. Sem. LOMI, 141 (1985),  149–153
26. Hankel operators and problems of best approximation of unbounded functions
    
    Zap. Nauchn. Sem. LOMI, 141 (1985),  5–17
27. A homogeneous measure exists on any compactum in $\mathbf{R}^n$
    
    Dokl. Akad. Nauk SSSR, 278:4 (1984),  783–786
28. Denseness of polynomials on a system of rays
    
    Dokl. Akad. Nauk SSSR, 275:5 (1984),  1049–1055
29. Certain remarks on the multiplicators of the cauchy type integrals and Sarason algebras
    
    Funktsional. Anal. i Prilozhen., 18:2 (1984),  61–62
30. Weighted density of polynomials on the line for strongly non-symmetric weights
    
    Zap. Nauchn. Sem. LOMI, 126 (1983),  47–54
31. The logarithm of an almost analytic function is summable
    
    Dokl. Akad. Nauk SSSR, 265:6 (1982),  1297–1302
32. Completeness of rational quotients in weighted Lp-spaces on a circle
    
    Funktsional. Anal. i Prilozhen., 15:2 (1981),  69–70
33. 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
34. The simultaneous approximation by polynomials on the circle and in the interior of the disc
    
    Zap. Nauchn. Sem. LOMI, 92 (1979),  60–84
35. Mean square completeness of polynomials beyond the scope of Szegö's theorem
    
    Dokl. Akad. Nauk SSSR, 241:3 (1978),  521–524


36. 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