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


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.

DOI Code: 10.1285/i15900932v31n2p53

Keywords: Commutator ; Riesz transform ; Schrodinger operator ; Sharp maximal function ; Morrey space ; Triebel-Lizorkin space ; Lipschitz function

Full Text: PDF

Creative Commons License
This work is licensed under a Creative Commons Attribuzione - Non commerciale - Non opere derivate 3.0 Italia License.