Embeddings in spaces of Lipschitz type, entropy and approximation numbers, and applications

DOI10.1006/jath.2000.3453zbMath0997.41022OpenAlexW2007867252WikidataQ57339770 ScholiaQ57339770MaRDI QIDQ1577920

David E. Edmunds, Haroske, Dorothee D.

Publication date: 13 November 2002

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.2000.3453

zbMATH Keywords

entropyembeddingsapproximation numbersLipschitz type spaces

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)

Related Items (11)

Approximation numbers in function spaces and the distribution of eigenvalues of some fractal elliptic operators ⋮ Continuity envelopes of spaces of generalised smoothness, entropy and approximation numbers ⋮ The superposition operator and Strauss lemma in logarithmic Besov spaces ⋮ Restricting Riesz-logarithmic-Besov potentials ⋮ Embeddings and characterizations of Lipschitz spaces ⋮ Optimal embeddings of spaces of generalized smoothness in the critical case ⋮ The logarithmic Sobolev capacity ⋮ Almost optimal estimates for entropy numbers of \(B_{2,2}^{1/2}\) and its consequences ⋮ Entropy numbers of embeddings of Besov spaces in generalized Lipschitz spaces ⋮ Spaces of generalized smoothness in the critical case: optimal embeddings, continuity envelopes and approximation numbers ⋮ Differentiability of logarithmic Besov functions in terms of capacities

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