Krotov Veniamin Grigoryevich

Publications in Math-Net.Ru

1. Marcinkiewicz's interpolation theorem for Hardy-type spaces and its applications
   
   Mat. Sb., 215:8 (2024),  95–119
2. Marcinkiewicz Interpolation Theorem for Spaces of Hardy Type
   
   Mat. Zametki, 113:2 (2023),  311–315
3. Interpolation of Operators in Hardy-Type Spaces
   
   Trudy Mat. Inst. Steklova, 323 (2023),  181–195
4. The Fatou Property for General Approximate Identities on Metric Measure Spaces
   
   Mat. Zametki, 110:2 (2021),  204–220
5. On the Continuity of Best Approximations by Constants on Balls in Metric Measure Spaces
   
   Mat. Zametki, 107:2 (2020),  221–228
6. Estimates of $L^p$-Oscillations of Functions for $p>0$
   
   Mat. Zametki, 97:3 (2015),  407–420
7. Functions from Sobolev and Besov spaces with maximal Hausdorff dimension of the exceptional Lebesgue set
   
   Fundam. Prikl. Mat., 18:5 (2013),  145–153
8. Luzin's Correction Theorem and the Coefficients of Fourier Expansions in the Faber–Schauder System
   
   Mat. Zametki, 93:2 (2013),  172–178
9. Criteria for compactness in $L^p$-spaces, $p\geqslant0$
   
   Mat. Sb., 203:7 (2012),  129–148
10. A generalization of Campanato–Meyers' theorem
    
    Tr. Inst. Mat., 20:2 (2012),  30–35
11. The Rate of Convergence of Steklov Means on Metric Measure Spaces and Hausdorff Dimension
    
    Mat. Zametki, 89:1 (2011),  145–148
12. Compactness of Embeddings of Sobolev Type on Metric Measure Spaces
    
    Mat. Zametki, 86:6 (2009),  829–844
13. The Luzin approximation of functions from the classes $W^p_\alpha$ on metric spaces with measure
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2008, no. 5,  55–66
14. Weighted estimates for tangential boundary behaviour
    
    Mat. Sb., 197:2 (2006),  57–74
15. Generalized Poincaré–Sobolev inequality on metric spaces
    
    Tr. Inst. Mat., 14:1 (2006),  51–61
16. Strong-Type Inequality for Convolution with Square Root of the Poisson Kernel
    
    Mat. Zametki, 75:4 (2004),  580–591
17. When is an Orthogonal Series a Fourier Series?
    
    Mat. Zametki, 74:1 (2003),  139–142
18. Tangential boundary behavior of functions of several variables
    
    Mat. Zametki, 68:2 (2000),  230–248
19. An exact estimate of the boundary behavior of functions from Hardy–Sobolev classes in the critical case
    
    Mat. Zametki, 62:4 (1997),  527–539
20. A sharp estimate for the boundary behavior of functions in the Hardy–Sobolev classes $H^p_\alpha(B^n)$ in the critical case $\alpha p=n$
    
    Dokl. Akad. Nauk SSSR, 319:1 (1991),  42–45
21. On the smoothness of universal Marcinkiewicz functions and universal trigonometric series
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1991, no. 8,  26–31
22. On the boundary behavior of functions in spaces of Hardy type
    
    Izv. Akad. Nauk SSSR Ser. Mat., 54:5 (1990),  957–974
23. Differential properties on the boundary of functions that are holomorphic in the unit ball in $C^N$
    
    Mat. Zametki, 45:2 (1989),  51–59
24. Estimates of maximal operators connected with the boundary behaviour and their applications
    
    Trudy Mat. Inst. Steklov., 190 (1989),  117–138
25. Boundary behavior of fractional integrals of holomorphic functions in the unit ball in $C^N$
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1988, no. 4,  73–75
26. On the smoothness of Luzin primitives and on theorems of Men'shov and Bari
    
    Mat. Sb. (N.S.), 134(176):3(11) (1987),  404–420
27. On differentiability properties of functions in $H^p$ on the boundary of the disk of convergence
    
    Trudy Mat. Inst. Steklov., 180 (1987),  141–142
28. Unconditional basicity of the Haar system in the spaces $\Lambda_\omega^1$
    
    Mat. Zametki, 32:5 (1982),  675–684
29. On differentiability of functions in $L^p$, $0<p<1$
    
    Mat. Sb. (N.S.), 117(159):1 (1982),  95–113
30. On differentiability of functions in $L^p$ and $H^p$ for $0<p<1$
    
    Dokl. Akad. Nauk SSSR, 256:6 (1981),  1311–1314
31. Unconditional convergence of Fourier series with respect to the Haar system in the spaces $\Lambda_\omega^p$
    
    Mat. Zametki, 23:5 (1978),  685–695
32. Representation of measurable functions by series in the Faber–Schauder system, and universal series
    
    Izv. Akad. Nauk SSSR Ser. Mat., 41:1 (1977),  215–229
33. Direct and inverse theorems of Jackson type in $L^p$ spaces ($0<p<1$)
    
    Dokl. Akad. Nauk SSSR, 226:1 (1976),  44–47
34. Fourier coefficients with respect to a certain orthonormal system that forms a basis in the space of continuous functions
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1975, no. 10,  33–46
35. Direct and converse theorems of Jackson type in $L^p$ spaces, $0<p<1$
    
    Mat. Sb. (N.S.), 98(140):3(11) (1975),  395–415
36. Correction to the paper “Haar series”
    
    Sibirsk. Mat. Zh., 16:2 (1975),  417–418
37. Representation of measurable functions by series in the Faber–Schauder system and universal series
    
    Dokl. Akad. Nauk SSSR, 214:6 (1974),  1258–1261
38. Continuous functions with monotonically increasing Fourier coefficients in the Haar system
    
    Sibirsk. Mat. Zh., 15:2 (1974),  439–444
39. On series with respect to the Faber–Schauder system and with respect to the bases of the space $C[0,1]$
    
    Mat. Zametki, 14:2 (1973),  185–195
40. Series in the Haar system
    
    Sibirsk. Mat. Zh., 14:1 (1973),  111–127