New criteria for uniform approximability by harmonic functions on compact sets in \(\mathbb{R}^2\)
type: Item
instance of: scholarly article
title: New criteria for uniform approximability by harmonic functions on compact sets in \(\mathbb{R}^2\)
zbMATH Open document ID: 1387.30053
DOI: 10.1134/S0081543817060141
published in: Proceedings of the Steklov Institute of Mathematics
publication date: 2018-02-27T00:00:00Z
Mathematics Subject Classification ID: 30E10
Mathematics Subject Classification ID: 31A05
Mathematics Subject Classification ID: 31A15
zbMATH DE Number: 6844184
zbMATH Keywords: approximation by harmonic functions, logarithmic capacity
author: P. V. Paramonov
MaRDI profile type: Publication
cites work: Potentiel fin et algèbres de fonctions analytiques. I
cites work: On the solvability and stability of the Dirichlet problem
cites work: Q5666837
cites work: On geometric properties of harmonic \(\text{Lip}_ 1\)-capacity
cites work: Criterion of uniform approximability by harmonic functions on compact sets in \(\mathbb R^{3}\)
cites work: Conditions for $ C^m$-approximability of functions by solutions of elliptic equations
cites work: Some new criteria for uniform approximability of functions by rational fractions
cites work: Approximation by Solutions of Elliptic Equations on Closed Subsets of Euclidean Space.
cites work: \(C^ m\) approximation by solutions of elliptic equations, and Calderón-Zygmund operators
cites work: \(C^1\)-approximation and extension of subharmonic functions
cites work: The analytic capacity of sets in problems of approximation theory
description: scientific article; zbMATH DE number 6844184