Sharp Maximal Function Inequalities and Boundedness for Commutators of Riesz Transforms of Schr¨odinger Operators

Authors

  • Lanzhe Liu

DOI:

https://doi.org/10.1285/i15900932v31n2p53

Keywords:

Commutator, Riesz transform, Schrodinger operator, Sharp maximal function, Morrey space, Triebel-Lizorkin space, Lipschitz function

Abstract

In this paper, we establish the sharp maximal function estimates for the commutators associated with the Riesz transforms of Schrodinger operators. As an application, we obtain the boundedness of the commutator on Lebesgue, Morrey and Triebel-Lizorkin spaces.

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Published

01-07-2012

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Section

Articoli