Constructive description of Hölder classes on some multidimensional compact sets

DOI10.1134/S1063454121030055zbMath1476.31005OpenAlexW3203675192MaRDI QIDQ2239078

Yanyan Li

Publication date: 2 November 2021

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1063454121030055

zbMATH Keywords

approximationharmonic functionsconstructive descriptionHölder classeschord-arc curves

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Special properties of functions of several variables, Hölder conditions, etc. (26B35)

Related Items (1)

Approximation of Hölder functions in the \(L^p\) norm by harmonic functions on some multidimensional compact sets

Cites Work

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• The pseudoanalytic extension
• Constructive description of Hölder-like classes on an arc in \(\mathbb{R}^3\) by means of harmonic functions
• THE GEOMETRIC STRUCTURE OF REGIONS, AND DIRECT THEOREMS OF THE CONSTRUCTIVE THEORY OF FUNCTIONS
• Constructive descriptions of functional classes by polynomial approximations. I, II

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