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 $\mathcal{L} = −∆ + V$ 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