Optimal Calderon spaces for generalized Bessel potentials

DOI10.1134/S1064562415040031zbMath1327.42025WikidataQ57339732 ScholiaQ57339732MaRDI QIDQ892714

Mikhail L. Goldman, Haroske, Dorothee D.

Publication date: 12 November 2015

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

zbMATH Keywords

rearrangement invariant spacesweighted Lorentz spacesgeneralized Bessel potentialsCalderon spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Function spaces arising in harmonic analysis (42B35)

Related Items (2)

Optimal Calderón spaces for generalized Bessel potentials ⋮ Construction of an optimal envelope for a cone of nonnegative functions with monotonicity properties

Cites Work

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• Estimates for continuity envelopes and approximation numbers of Bessel potentials
• 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
• Optimal calderon space for Bessel potentials
• Weighted Lorentz spaces and the Hardy operator
• Estimation of the uniform modulus of continuity of the generalized Bessel potential
• On embeddings between classical Lorentz spaces

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