Hölder classes in the 𝐿^{𝑝} norm on a chord-arc curve in ℝ³

DOI10.1090/SPMJ/1769zbMath1529.41018arXiv2104.01669OpenAlexW4385320641MaRDI QIDQ6113129

Nikolai Shirokov, Tatyana A. Alexeeva

Publication date: 8 August 2023

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.01669

zbMATH Keywords

harmonic functionsconstructive descriptionHölder classeschord-arc curves

Mathematics Subject Classification ID

Approximation by other special function classes (41A30) Inverse theorems in approximation theory (41A27)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Mean convergence of Hermite interpolation
• Constructive description of Hölder-like classes on an arc in \(\mathbb{R}^3\) by means of harmonic functions
• APPROXIMATION CHARACTERIZATION OF CLASSES OF FUNCTIONS ON CONTINUA OF THE COMPLEX PLANE
• ON APPROXIMATION OF FUNCTIONS BY HARMONIC POLYNOMIALS
• ON THE NUMBER OF TRIANGULATION SIMPLEXES

This page was built for publication: Hölder classes in the 𝐿^{𝑝} norm on a chord-arc curve in ℝ³