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Entropy numbers of weighted Sobolev classes on the unit sphere

Classical Analysis and ODEs 2021-02-23 v2

Abstract

We obtain the asymptotic orders of entropy numbers of Sobolev classes on the unit sphere with Dunkl weight which associates with the finite reflection group. Moreover, the asymptotic order of entropy numbers of weighted Sobolev classes on the unit ball and on the standard simplex are discussed.

Keywords

Cite

@article{arxiv.1912.03451,
  title  = {Entropy numbers of weighted Sobolev classes on the unit sphere},
  author = {Heping Wang and Wang Kai},
  journal= {arXiv preprint arXiv:1912.03451},
  year   = {2021}
}

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25 pages