Mazalov Maksim Yakovlevich

Publications in Math-Net.Ru

1. Criteria for $C^m$-approximability of functions by solutions of homogeneous second-order elliptic equations on compact subsets of $\mathbb{R}^N$ and related capacities
   
   Uspekhi Mat. Nauk, 79:5(479) (2024),  101–177
2. Capacities commensurable with harmonic ones
   
   Mat. Sb., 215:2 (2024),  120–146
3. On $\gamma_{{\mathcal L}}$-capacities of Cantor sets
   
   Algebra i Analiz, 35:5 (2023),  171–182
4. Commensurability of some capacities with harmonic capacities
   
   Uspekhi Mat. Nauk, 78:5(473) (2023),  183–184
5. On the Dirichlet problem for not strongly elliptic second-order equations
   
   Uspekhi Mat. Nauk, 77:2(464) (2022),  197–198
6. Approximation by polyanalytic functions in Hölder spaces
   
   Algebra i Analiz, 33:5 (2021),  125–152
7. Uniform approximation of functions by solutions of second order homogeneous strongly elliptic equations on compact sets in ${\mathbb{R}}^2$
   
   Izv. RAN. Ser. Mat., 85:3 (2021),  89–126
8. A criterion for uniform approximability of individual functions by solutions of second-order homogeneous elliptic equations with constant complex coefficients
   
   Mat. Sb., 211:9 (2020),  60–104
9. On Bianalytic Capacities
   
   Mat. Zametki, 103:4 (2018),  635–640
10. On Nevanlinna domains with fractal boundaries
    
    Algebra i Analiz, 29:5 (2017),  90–110
11. On the existence of angular boundary values for polyharmonic functions in the unit ball
    
    Zap. Nauchn. Sem. POMI, 456 (2017),  144–154
12. An example of a non-rectifiable Nevanlinna contour
    
    Algebra i Analiz, 27:4 (2015),  50–58
13. Criteria for $C^m$-approximability by bianalytic functions on planar compact sets
    
    Mat. Sb., 206:2 (2015),  77–118
14. Conditions for $C^m$-approximability of functions by solutions of elliptic equations
    
    Uspekhi Mat. Nauk, 67:6(408) (2012),  53–100
15. Criterion of uniform approximability by harmonic functions on compact sets in $\mathbb R^3$
    
    Trudy Mat. Inst. Steklova, 279 (2012),  120–165
16. On uniform approximability by solutions of elliptic equations of order higher than two
    
    Ufimsk. Mat. Zh., 4:4 (2012),  108–118
17. A criterion for approximability by harmonic functions in Lipschitz spaces
    
    Zap. Nauchn. Sem. POMI, 401 (2012),  144–171
18. Uniform approximation problem for harmonic functions
    
    Algebra i Analiz, 23:4 (2011),  136–178
19. Uniform approximation by harmonic functions on compact subsets of $\mathbb R^3$
    
    Zap. Nauchn. Sem. POMI, 389 (2011),  162–190
20. The Dirichlet problem for polyanalytic functions
    
    Mat. Sb., 200:10 (2009),  59–80
21. A criterion for uniform approximability on arbitrary compact sets for solutions of elliptic equations
    
    Mat. Sb., 199:1 (2008),  15–46
22. Uniform approximations by bianalytic functions on arbitrary compact subsets of $\mathbb C$
    
    Mat. Sb., 195:5 (2004),  79–102
23. Uniform Approximation of Functions Continuous on a Compact Subset of $\mathbb C$ and Analytic in Its Interior by Functions Bianalytic in Its Neighborhoods
    
    Mat. Zametki, 69:2 (2001),  245–261
24. An example of a nonconstant bianalytic function vanishing everywhere on a nowhere analytic boundary
    
    Mat. Zametki, 62:4 (1997),  629–632