A sufficient condition for compactness of the commutators of Riesz potential on global Morrey-type space

DOI10.1063/1.5049002zbMath1463.35475OpenAlexW2887264942MaRDI QIDQ5116273

Nurzhan Bokayev, Dauren Matin, Victor I. Burenkov

Publication date: 24 August 2020

Published in: AIP Conference Proceedings (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/emj270

zbMATH Keywords

Morrey spacesprecompactnesslocal and global Morrey-type spaces

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Heat equation (35K05) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items (2)

Compactness characterizations of commutators on ball Banach function spaces ⋮ Relatively compact sets in variable exponent Morrey spaces on metric spaces

Cites Work

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• An analog of Young's inequality for convolutions of functions for general Morrey-type spaces
• From Arzelà-Ascoli to Riesz-Kolmogorov
• Compactness of commutators of Riesz potential on Morrey spaces
• Theorems on compactness
• Compactness of Commutators for Singular Integrals on Morrey Spaces
• Necessary and sufficient conditions for boundedness of the maximal operator in local Morrey-type spaces
• Boundedness of the fractional maximal operator in local Morrey-type spaces
• Sufficient conditions for the pre-compactness of sets in global Morrey-type spaces
• Necessary and sufficient conditions for the boundedness of the Riesz potential in local Morrey-type spaces
• Necessary and sufficient conditions for the boundedness of the Riesz potential in local Morrey-type spaces

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