ON BOUNDEDNESS PROPERTY OF SINGULARINTEGRAL OPERATORS ASSOCIATED TO ASCHR(O)DINGER OPERATOR IN A GENERALIZED MORREY SPACE AND APPLICATIONS

• 作者: Ngoc Trong NGUYEN Thanh Nhan NGUYEN Xuan Truong LE
• 来源期刊: 数学物理学报（英文版）
• 年，卷（期）: 2020,（5）
• 页码范围: 1171-1184
• 页数: 14页
• 语种: 英文

摘要

In this paper,we provide the boundedness property of the Riesz transforms associated to the Schr(o)dinger operator L =-△ + V in a new weighted Morrey space which is the generalized version of many previous Morrey type spaces.The additional potential V considered in this paper is a non-negative function satisfying the suitable reverse H(o)lder's inequality.Our results are new and general in many cases of problems.As an application of the boundedness property of these singular integral operators,we obtain some regularity results of solutions to Schr(o)dinger equations in the new Morrey space.