On some properties and examples of Nevanlinna domains

DOI10.1134/S0081543806020155zbMath1351.30021MaRDI QIDQ2342229

K. Yu. Fedorovskii

Publication date: 11 May 2015

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Approximation in the complex plane (30E10)

Related Items

Density of certain polynomial modules ⋮ On the relationship between Nevanlinna and quadrature domains ⋮ \(C^m\)-approximation by polyanalytic polynomials on compact subsets of the complex plane ⋮ On \(L^1\)-estimates of derivatives of univalent rational functions ⋮ On Nevanlinna domains with fractal boundaries ⋮ Model spaces containing univalent functions ⋮ Free boundary problems via Sakai’s theorem ⋮ Nevanlinna domains and uniform approximation by polyanalytic polynomial modules ⋮ New conditions for uniform approximation by polyanalytic polynomials ⋮ On the dependence of uniform polyanalytic polynomial approximations on the order of polyanalyticity ⋮ Bounded symbols and reproducing kernel thesis for truncated Toeplitz operators ⋮ Example of a nonrectifiable Nevanlinna contour ⋮ Nevanlinna domains with large boundaries ⋮ Free boundary problems in the spirit of Sakai's theorem ⋮ Uniform approximation by polynomial solutions of second-order elliptic equations, and the corresponding Dirichlet problem

Cites Work

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• On the boundary continuity of conformal maps
• An example of a nonconstant bianalytic function vanishing everywhere on a nowhere analytic boundary
• Cyclic vectors and invariant subspaces of the backward shift operator
• On functions orthogonal to invariant subspaces
• Approximation by meromorphic and entire solutions of elliptic equations in Banach spaces of distributions
• On uniform approximation by $ n$-analytic functions on closed sets in $ \mathbb C$

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