Optimal regularity properties of the Riesz potential operator

zbMath1285.46026MaRDI QIDQ380702

Qaisar Mehmood, Georgi E. Karadzhov

Publication date: 14 November 2013

Published in: Communications in Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.cma/1364216234

zbMATH Keywords

extrapolationreal interpolationRiesz potentialrearrangement invariant function spacesHölder-Zygmund 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) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Interpolation between normed linear spaces (46B70)

Related Items (1)

Continuity of Riesz potential operator in the supercritical case on unbounded domain

Cites Work

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• The Riesz potential operator in optimal couples of rearrangement invariant spaces
• Extrapolation theory: new results and applications
• Optimal embeddings of Bessel-potential-type spaces into generalized Hölder spaces involving \(k\)-modulus of smoothness
• Symmetrization and second-order Sobolev inequalities
• Imbedding theorems of Sobolev type in potential theory.
• Optimal Embeddings of Calderón Spaces in Hölder-Zygmund Spaces
• Hardy's inequality with weights

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