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Zapiski Nauchnykh Seminarov POMI, 2020, Volume 491, Pages 119–144 (Mi znsl6941)  
This article is cited in 1 scientific paper (total in 1 paper)

Constructive description of Hölder classes on compact subsets of $\mathbb{R}^3$

D. A. Pavlov

Herzen State Pedagogical University of Russia, St. Petersburg
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Abstract: We give a constructive description of Hölder classes of functions on a compact subset of a chord-arc curve in $\mathbb{R}^3$ in terms of the rate of approximation by harmonic functions.
Key words and phrases: constructive description, Hölder classes, harmonic functions, chord-arc curves.
Received: 04.08.2020
Document Type: Article
UDC: 517.572
Language: Russian
Citation: D. A. Pavlov, “Constructive description of Hölder classes on compact subsets of $\mathbb{R}^3$”, Investigations on linear operators and function theory. Part 48, Zap. Nauchn. Sem. POMI, 491, POMI, St. Petersburg, 2020, 119–144
Citation in format AMSBIB
\Bibitem{Pav20}
\by D.~A.~Pavlov
\paper Constructive description of H\"older classes on compact subsets of $\mathbb{R}^3$
\inbook Investigations on linear operators and function theory. Part~48
\serial Zap. Nauchn. Sem. POMI
\yr 2020
\vol 491
\pages 119--144
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6941}
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  • https://www.mathnet.ru/eng/znsl/v491/p119
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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