Boundedness of High Order Commutators of Riesz Transforms Associated with Schr¨odinger Type Operators

2020-07-01 09:22YueshanWang
Analysis in Theory and Applications 2020年1期

Yueshan Wang

Department of Mathematics,Jiaozuo University,Jiaozuo 454003,Henan,China

Key Words: Schr¨odinger operator,Campanato space,Riesz transform,commutator.

1 Introduction

In this paper,we consider the Schr¨odinger type operator

where V is nonnegative, V /= 0, and belongs to the reverse H¨older class RHqfor some q ≥n/2,i.e.,there exists a constant C such that

2 Some preliminaries

3 Proof of Theorem 1.1