Optimal embedding and sharp estimates of the continuity envelope for generalized Bessel potentials

DOI10.1134/S1064562413060124zbMath1307.46023WikidataQ57339744 ScholiaQ57339744MaRDI QIDQ403876

Mikhail L. Goldman, Haroske, Dorothee D.

Publication date: 29 August 2014

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

convolutionembedding theoremRiesz potentialBessel potentialapproximation numberCalderón space

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) 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)

Cites Work

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• Two-sided estimate for the modulus of continuity of a convolution
• Estimates of the uniform modulus of continuity for Bessel potentials
• Continuity envelopes of spaces of generalised smoothness, entropy and approximation numbers
• Optimal embeddings of generalized Bessel and Riesz potentials
• Compact embeddings of Bessel-potential-type spaces into generalized Hölder spaces involving \(k\)-modulus of smoothness
• Imbedding with different metrics for spaces of Calderón type
• Sharp estimates of the k -modulus of smoothness of Bessel potentials
• Shorter Notes: On the Differentiability of Functions in R n

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