On dilation operators and sampling numbers

DOI10.1155/2008/610196zbMath1172.41306OpenAlexW1988844734MaRDI QIDQ949081

Jan Vybíral

Publication date: 20 October 2008

Published in: Journal of Function Spaces and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2008/610196

zbMATH Keywords

Besov spaceslinear and nonlinear approximation methodsdilation operatorssampling operators

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Rate of convergence, degree of approximation (41A25) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

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Some recent developments in the theory of function spaces involving differences ⋮ Dilation operators in Besov spaces over local fields ⋮ Homogeneity property of Besov and Triebel-Lizorkin spaces ⋮ New lower bounds for the integration of periodic functions ⋮ Randomized approximation of Sobolev embeddings. II ⋮ On dilation operators in Triebel-Lizorkin spaces