Boundedness for Riesz transform associated with Schrödinger operators and its commutator on weighted Morrey spaces related to certain nonnegative potentials

DOI10.1186/1029-242X-2014-194zbMath1309.47052WikidataQ59323658 ScholiaQ59323658MaRDI QIDQ2258673

Yu Liu, Li Juan Wang

Publication date: 26 February 2015

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

Schrödinger operatorcommutatorMorrey spacesRiesz transformreverse Hölder class

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) General theory of partial differential operators (47F05) Schrödinger operator, Schrödinger equation (35J10)

Related Items

On boundedness property of singular integral operators associated to a Schrödinger operator in a generalized Morrey space and applications, Weighted local Morrey spaces, Boundedness of higher order Riesz transforms associated with Schrodinger type operator on generalized Morrey spaces, Analytic and numerical solutions for systems of fractional Schrödinger equation, Solutions of the Dirichlet-Schrödinger problems with continuous data admitting arbitrary growth property in the boundary

Cites Work

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• Weighted inequalities for commutators of Schrödinger-Riesz transforms
• Commutators of Riesz transforms related to Schrödinger operators
• Classes of weights related to Schrödinger operators
• Boundedness for some Schrödinger type operators on Morrey spaces related to certain nonnegative potentials
• \(L^ p\) estimates for Schrödinger operators with certain potentials
• Boundedness for some Schrödinger type operators on weighted Morrey spaces