Some constructive criteria of optimal embeddings for potentials

DOI10.1080/17476933.2011.592577zbMath1227.42023OpenAlexW1969958241MaRDI QIDQ3094251

Mikhail L. Goldman

Publication date: 21 October 2011

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2011.592577

zbMATH Keywords

convolutionrearrangement invariant spacespace of potentialsweighted Lorentz spacecone of rearrangements

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Related Items (4)

Construction of an optimal envelope for a cone of nonnegative functions with monotonicity properties ⋮ Two-sided estimate for the modulus of continuity of a convolution ⋮ Estimation of the uniform modulus of continuity of the generalized Bessel potential ⋮ SOME CLASSES OF OPERATORS IN GENERAL MORREY-TYPE SPACES

Cites Work

• Optimal embeddings of generalized Bessel and Riesz potentials
• Weighted Hardy inequalities for decreasing sequences and functions
• Optimal embedding of Bessel- and Riesz-type potentials
• Convolution operators and L(p, q) spaces
• Characterisation of Embeddings in Lorentz Spaces

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