Constructive description of H{\"o}lder-like classes on an arc in $\mathbb{R}^3$ by means of harmonic functions
Classical Analysis and ODEs
2019-09-04 v1
Abstract
We give a constructive description of H{\"o}lder-like classes of functions on chord-arc curves in in terms of a rate of approximation by harmonic functions in shrinking neighborhoods of those curve.
Cite
@article{arxiv.1909.00820,
title = {Constructive description of H{\"o}lder-like classes on an arc in $\mathbb{R}^3$ by means of harmonic functions},
author = {Tatyana A. Alexeeva and Nikolay A. Shirokov},
journal= {arXiv preprint arXiv:1909.00820},
year = {2019}
}
Comments
25 pages