Parfenov Oleg Germanovich

Publications in Math-Net.Ru

1. Widths of certain classes of entire functions
   
   Mat. Sb., 190:4 (1999),  87–94
2. Weighted estimates for the Laplace transform
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 1998, no. 5,  50–52
3. The Trace Class Property of Embedding Operators of Sobolev Classes into Weighted Spaces
   
   Funktsional. Anal. i Prilozhen., 31:3 (1997),  85–88
4. Estimates of the spectrum of some differential operators
   
   Mat. Zametki, 61:4 (1997),  634–636
5. Widths of the unit ball in $H^\infty$ in weighted spaces $L_q(\mu)$
   
   Mat. Sb., 188:8 (1997),  149–157
6. Bernstein widths of embedding operators of Lebesgue spaces
   
   Zap. Nauchn. Sem. POMI, 247 (1997),  166–169
7. Nuclearity of imbedding operators of Sobolev classes into weighted spaces
   
   Zap. Nauchn. Sem. POMI, 247 (1997),  156–165
8. Asymptotic Behavior of the Gelfand and the Bernstein Widths of Some Classes of Analytic Functions
   
   Funktsional. Anal. i Prilozhen., 30:1 (1996),  79–80
9. On an approach to the interpolation of analytic functions in Hilbert spaces
   
   Mat. Zametki, 60:5 (1996),  780–782
10. The Gelfand and Bernstein widths of some classes of analytic functions. II
    
    Zap. Nauchn. Sem. POMI, 232 (1996),  134–140
11. Weighted estimates of the Fourier transformation
    
    Zap. Nauchn. Sem. POMI, 222 (1995),  151–162
12. Bernstein widths for some classes of analytic functions
    
    Mat. Zametki, 56:4 (1994),  123–131
13. Gel'fand widths of certain classes of analytic functions
    
    Mat. Sb., 185:6 (1994),  105–112
14. The Gelfand and Bernstein $n$-widths of some classes of analytic functions
    
    Zap. Nauchn. Sem. POMI, 217 (1994),  112–129
15. Widths of the unit ball of $H^\infty$ in the weighted spaces $L_q(\mu)$
    
    Funktsional. Anal. i Prilozhen., 26:3 (1992),  85–87
16. Width of the Hardy classes $H^p$ in weighted $L_p$ spaces
    
    Mat. Zametki, 51:4 (1992),  134–136
17. On the properties of embedding operators of some classes of analytic functions
    
    Algebra i Analiz, 3:2 (1991),  199–222
18. Estimates of the singular numbers of Hankel operators
    
    Mat. Zametki, 49:6 (1991),  82–86
19. Embedding operators of spaces of analytic functions of the class $\gamma_q$, $0<q\le2$
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1990, no. 9,  51–54
20. Nuclearity of the operators of embedding of certain classes of analytic functions in weighted spaces
    
    Mat. Zametki, 43:6 (1988),  794–807
21. Singular numbers of a weighted convolution operator
    
    Mat. Sb. (N.S.), 133(175):3(7) (1987),  314–324
22. Estimates of the singular numbers of the Carleson imbedding operator
    
    Mat. Sb. (N.S.), 131(173):4(12) (1986),  501–518
23. Gel'fand widths of the unit ball of the Hardy class $H^p$ in weight spaces
    
    Mat. Zametki, 37:2 (1985),  171–175
24. Asymptotic behavior of the singular numbers of the imbedding operator of the Hardy class $H^2$ into the weight spacei $L_2(\mathrm D_r,\mu)$
    
    Mat. Zametki, 35:5 (1984),  729–734
25. Faber polynomials and widths of Smimov classes in integral metrics
    
    Zap. Nauchn. Sem. LOMI, 135 (1984),  108–112
26. Widths of a class of analytic functions
    
    Mat. Sb. (N.S.), 117(159):2 (1982),  279–285
27. Asymptotic behavior of the diameters of certain classes of analytic functions
    
    Funktsional. Anal. i Prilozhen., 15:4 (1981),  87–88
28. Asymptotics of singular numbers of imbedding operators for certain classes of analytic functions
    
    Mat. Sb. (N.S.), 115(157):4(8) (1981),  632–641
29. Asymptotic behavior of singular values of integral operators with Cauchy and Bergman kernels
    
    Funktsional. Anal. i Prilozhen., 12:2 (1978),  88