由Schr?dinger算子定义的Riesz变换的Lp估计(英文)

Lp Estimates for Riesz Transform Associated to Schr?dinger Operator

中文关键词:  Riesz变换  Schr?dinger算子

英文关键词:Riesz transform  Schr?dinger operators

中文摘要:

      本文主要讨论了当非负位势 V(x)属于某逆Holder类时,由一致椭圆算子L=-div(A(x))+V(x)所定义的 Riesz变换在 L^p空间的有界性。

英文摘要:

      In this paper we consider the boundedness of Riesz transform associated to uniformly elliptic operators L =-div(A(x)?) + V(x) with non-negative potentials V on Rⁿ which belonging to certain reverse H?lder class.