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Boundedness of Commutators Generated by Campanato-Type Functions and Riesz Transforms Associated with Schrödinger Operators

Boundedness of Commutators Generated by Campanato-Type Functions and Riesz Transforms Associated with Schrödinger Operators

Year:    2015

Author:    Huixia Mo, Dongyan Yu, Xin Sui

Communications in Mathematical Research , Vol. 31 (2015), Iss. 4 : pp. 289–297

Abstract

Let L=+V be a Schrödinger operator on \boldsymbol{R}^n , n > 3, where is the Laplacian on \boldsymbol{R}^n and V ≠ 0 is a nonnegative function satisfying the reverse Hölder's inequality. Let [b, T] be the commutator generated by the Campanato-type function b ∈ Λ^β_{\mathcal{L}} and the Riesz transform associated with Schrödinger operator T = ∇(−∆+V )^{\frac{1}{2}}. In the paper, we establish the boundedness of [b, T] on Lebesgue spaces and Campanato-type spaces.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.13447/j.1674-5647.2015.04.01

Communications in Mathematical Research , Vol. 31 (2015), Iss. 4 : pp. 289–297

Published online:    2015-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    9

Keywords:    commutator Campanato-Type space Riesz transform Schrödinger operator.

Author Details

Huixia Mo Email

Dongyan Yu Email

Xin Sui Email