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Conditions for Cm-approximability of functions by solutions of elliptic equations. / Mazalov, M. Ya; Paramonov, P. V.; Fedorovskiy, K. Yu.

In: Russian Mathematical Surveys, Vol. 67, No. 6, 2012, p. 1023-1068.

Research output: Contribution to journal › Review article › peer-review

Harvard

Mazalov, MY, Paramonov, PV & Fedorovskiy, KY 2012, 'Conditions for Cm-approximability of functions by solutions of elliptic equations', Russian Mathematical Surveys, vol. 67, no. 6, pp. 1023-1068. https://doi.org/10.1070/RM2012v067n06ABEH004817

APA

Mazalov, M. Y., Paramonov, P. V., & Fedorovskiy, K. Y. (2012). Conditions for Cm-approximability of functions by solutions of elliptic equations. Russian Mathematical Surveys, 67(6), 1023-1068. https://doi.org/10.1070/RM2012v067n06ABEH004817

Vancouver

Mazalov MY, Paramonov PV, Fedorovskiy KY. Conditions for Cm-approximability of functions by solutions of elliptic equations. Russian Mathematical Surveys. 2012;67(6):1023-1068. https://doi.org/10.1070/RM2012v067n06ABEH004817

Author

Mazalov, M. Ya ; Paramonov, P. V. ; Fedorovskiy, K. Yu. / Conditions for Cm-approximability of functions by solutions of elliptic equations. In: Russian Mathematical Surveys. 2012 ; Vol. 67, No. 6. pp. 1023-1068.

BibTeX

@article{23a88b488f2f4d139e6ed46d20dbe3cf,
title = "Conditions for Cm-approximability of functions by solutions of elliptic equations",
abstract = "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 Cm on compact subsets of Euclidean spaces.",
keywords = "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",
author = "Mazalov, {M. Ya} and Paramonov, {P. V.} and Fedorovskiy, {K. Yu}",
year = "2012",
doi = "10.1070/RM2012v067n06ABEH004817",
language = "English",
volume = "67",
pages = "1023--1068",
journal = "Russian Mathematical Surveys",
issn = "0036-0279",
publisher = "IOP Publishing Ltd.",
number = "6",

}

RIS

TY - JOUR

T1 - Conditions for Cm-approximability of functions by solutions of elliptic equations

AU - Mazalov, M. Ya

AU - Paramonov, P. V.

AU - Fedorovskiy, K. Yu

PY - 2012

Y1 - 2012

N2 - 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 Cm on compact subsets of Euclidean spaces.

AB - 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 Cm on compact subsets of Euclidean spaces.

KW - C-analytic and C-harmonic capacity

KW - C-approximation by holomorphic, harmonic, and polyanalytic functions

KW - Dirichlet problem

KW - Nevanlinna domains

KW - S-dimensional hausdorff content

KW - Vitushkin localization operator

UR - http://www.scopus.com/inward/record.url?scp=84875134339&partnerID=8YFLogxK

U2 - 10.1070/RM2012v067n06ABEH004817

DO - 10.1070/RM2012v067n06ABEH004817

M3 - Review article

AN - SCOPUS:84875134339

VL - 67

SP - 1023

EP - 1068

JO - Russian Mathematical Surveys

JF - Russian Mathematical Surveys

SN - 0036-0279

IS - 6

ER -

ID: 86669624