Entropy numbers of embedding operators of function spaces on sets with tree-like structure

A. A. Vasil'eva

Izvestiya. Mathematics , Tome 81 (2017) no. 6, pp. 1095-1142.

Résumé

We obtain order estimates for the entropy numbers of embedding operators of weighted Sobolev spaces on a John domain as well as of two-weight summation operators on trees. To do this, we prove a general result on upper bounds for the entropy numbers of embedding operators of function spaces on sets with tree-like structure.

Détail

Keywords: entropy numbers, weighted Sobolev spaces, weighted summation operators, sets with tree-like structure.

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