Higher order commutators of Riesz transforms related to Schrödinger operators

DOI10.1186/1029-242X-2014-466zbMath1335.42027WikidataQ59324455 ScholiaQ59324455MaRDI QIDQ261752

Yuanting Wang, Yu Liu

Publication date: 24 March 2016

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

zbMATH Keywords

Hardy spaceSchrödinger operatorsRiesz transformscommutatorsBMO space

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) Schrödinger operator, Schrödinger equation (35J10) (H^p)-spaces (42B30) Harmonic analysis in several variables (42B99)

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The boundedness of commutators associated with Schrödinger operators on Herz spaces

Cites Work

• Unnamed Item
• Commutators of Calderón-Zygmund operators related to admissible functions on spaces of homogeneous type and applications to Schrödinger operators
• Weighted inequalities for commutators of Schrödinger-Riesz transforms
• Commutators of Riesz transforms related to Schrödinger operators
• Commutators of BMO functions and degenerate Schrödinger operators with certain nonnegative potentials
• Compact commutators of Riesz transforms associated to Schrödinger operator
• Hardy space \(H^1\) associated to Schrödinger operator with potential satisfying reverse Hölder inequality
• Weighted \(L^ p\)-boundedness for higher order commutators of oscillatory singular integrals
• Higher order commutators for a class of rough operators
• Continuity of higher order commutators on certain Hardy spaces
• Endpoint estimates for commutators of singular integral operators
• \(L^ p\) estimates for Schrödinger operators with certain potentials
• \(L^p\) boundedness of commutator operators associated with a Schrödinger operator on Heisenberg group
• Commutators of higher order Riesz transform associated with Schrödinger operators
• Weighted endpoint estimates for commutators of Riesz transforms associated with Schrödinger operators
• Some estimates for commutators of Riesz transforms associated with Schrödinger operators
• \(L^p\) boundedness of commutators of Riesz transforms associated to Schrödinger operator
• Weighted sharp function inequalities and boundedness for commutator of Riesz transforms of Schrödinger operator
• ENDPOINT ESTIMATES FOR COMMUTATORS OF RIESZ TRANSFORMS ASSOCIATED WITH SCHRÖDINGER OPERATORS
• COMPACTNESS FOR HIGHER ORDER COMMUTATORS OF OSCILLATORY SINGULAR INTEGRAL OPERATORS
• Higher Order Commutators for Vector-Valued Calderon-Zygmund Operators