Commutators of Higher Order Riesz Transform Associated with Schrödinger Operators

Let L=-Δ+V be a Schrödinger operator on ℝn (n≥3), where V≢0 is a nonnegative potential belonging to certain reverse Hölder class Bs for s≥n/2. In this paper, we prove the boundedness of commutators ℛbHf=bℛHf-ℛH(bf) generated by the higher order Riesz transform ℛH=∇2(-Δ+V)-1, where b∈BMOθ(ρ), which i...

Full description

Saved in:
Bibliographic Details
Main Authors: Yu Liu, Lijuan Wang, Jianfeng Dong
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2013/842375
Tags: Add Tag
No Tags, Be the first to tag this record!