Estimates of Entropy Numbers of the Sobolev Embedding Operator on a Hölder Domain

Upper estimates are established for the entropy numbers of the Sobolev embedding operator on a Hölder domain of the $$n$$ -dimensional Euclidean space.

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Publication Details

Journal
Mathematical Notes
Published
2025-10-01
DOI
https://doi.org/10.1134/s0001434625604988
Primary Topic
Analytic and geometric function theory
Type
article
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article

Estimates of Entropy Numbers of the Sobolev Embedding Operator on a Hölder Domain

O. V. Besov
Mathematical Notes
Analytic and geometric function theory
article

Estimates of Entropy Numbers of the Sobolev Embedding Operator on a Hölder Domain

O. V. Besov
article en

Abstract

Upper estimates are established for the entropy numbers of the Sobolev embedding operator on a Hölder domain of the $$n$$ -dimensional Euclidean space.

Mathematical NotesVol. 118(3-4)
Russian Academy of Sciences (RU), Steklov Mathematical Institute (RU)
Reduced inequalities
Openalex Percentile: Top 21%
Analytic and geometric function theory
DOISourceOpenAlex
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Estimates of Entropy Numbers of the Sobolev Embedding Operator on a Hölder Domain — O. V. Besov · Mathematical Notes (2025) | TGRS Research Map | TGRS