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

Complex Variables 2019-01-21 v3

Abstract

We give a constructive description of H\"older-like classes of functions on a chord-arc curve in R3\mathbb{R}^3 by means of a rate of approximation by function harmonic is shrinking neibourhoods of those curve

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Cite

@article{arxiv.1803.03993,
  title  = {Constructive description of H\"older-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:1803.03993},
  year   = {2019}
}

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25 pages