Entropy numbers in sequence spaces with an application to weighted function spaces

DOI10.1016/j.jat.2008.01.002zbMath1145.47017OpenAlexW1976134060MaRDI QIDQ935079

Thomas Kühn

Publication date: 31 July 2008

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

Full work available at URL: https://doi.org/10.1016/j.jat.2008.01.002

zbMATH Keywords

Triebel-Lizorkin spacesBesov spacescompact embeddingsapproximation numbersentropy numbersdiagonal operatorssmooth weightsPitt's theorem\(\ell_p\)-spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Banach sequence spaces (46B45)

Related Items (10)

Entropy numbers of embedding operators for weighted Sobolev spaces ⋮ Estimates for the entropy numbers of embedding operators of function spaces on sets with tree-like structure: some limiting cases ⋮ Approximation and entropy numbers of embeddings between approximation spaces ⋮ Morrey sequence spaces: Pitt's theorem and compact embeddings ⋮ Entropy numbers of embedding operators of function spaces on sets with tree-like structure ⋮ Entropy and approximation numbers of limiting embeddings; an approach via Hardy inequalities and quadratic forms ⋮ Entropy and approximation numbers of embeddings of weighted Sobolev spaces ⋮ Some new bounds on the entropy numbers of diagonal operators ⋮ Approximation and entropy numbers in Besov spaces of generalized smoothness ⋮ Sharp estimates for the covering numbers of the Weierstrass fractal kernel

Cites Work

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• !ENTROPY NUMBERS OF EMBEDDINGS OF WEIGHTED BESOV SPACES. II

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