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arXiv · 1909.00820

Constructive description of H{\"o}lder-like classes on an arc in $\mathbb{R}^3$ by means of harmonic functions

Tatyana A. Alexeeva·Nikolay A. Shirokov
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Abstract

We give a constructive description of H{\"o}lder-like classes of functions on chord-arc curves in $\mathbb{R}^3$ in terms of a rate of approximation by harmonic functions in shrinking neighborhoods of those curve.

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Tatyana A. Alexeeva, Nikolay A. Shirokov. 2019-09-02. Constructive description of H{\"o}lder-like classes on an arc in $\mathbb{R}^3$ by means of harmonic functions. https://arxiv.org/abs/1909.00820

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