Conditions for Cm-approximability of functions by solutions of elliptic equations

DOI

https://doi.org/10.1070/RM2012v067n06ABEH004817
Final published version

M. Ya Mazalov
P. V. Paramonov
K. Yu Fedorovskiy

This paper is a survey of results obtained over the past 20-30 years in the qualitative theory of approximation of functions by holomorphic, harmonic, and polyanalytic functions (and, in particular, by corresponding polynomials) in the norms of Whitney-type spaces C^m on compact subsets of Euclidean spaces.

Original language	English
Pages (from-to)	1023-1068
Number of pages	46
Journal	Russian Mathematical Surveys
Volume	67
Issue number	6
DOIs	https://doi.org/10.1070/RM2012v067n06ABEH004817
State	Published - 2012
Externally published	Yes

Scopus subject areas

Mathematics(all)

Research areas

C-analytic and C-harmonic capacity, C-approximation by holomorphic, harmonic, and polyanalytic functions, Dirichlet problem, Nevanlinna domains, S-dimensional hausdorff content, Vitushkin localization operator

ID: 86669624