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Entropy numbers of weighted Sobolev classes on the unit sphere

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.

preprint2021arXivOpen access
Heping WangWang Kai
math.CA
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Heping WangWang Kai

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