The weighted estimates for the operators Vα(-ΔG + V)-β and VαdelG(-ΔG + V)-β on the stratified Lie group G

被引：14

作者：

Liu, Yu ^{[1
]}

机构：

[1] Univ Sci & Technol Beijing, Dept Math & Mech, Beijing 100083, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 349卷 / 01期

关键词：

Stratified Lie group; Schrodinger operators; Reverse Holder class; SCHRODINGER-OPERATORS; SPACES;

D O I：

10.1016/j.jmaa.2008.08.043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider the Schrodinger operator -Delta(G) + V on the stratified Lie group G where the nonnegative potential V belongs to the reverse Holder class B-q1 for some q(1) >= Q/2 and Q is the homogeneous dimension of G. The weighted L-p-L-q estimates for the operators V-alpha(-Delta(G) + V)(-beta) and V-alpha del(G)(-Delta(G) + V)(-beta) are obtained. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：235 / 244

页数：10

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