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

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:349

Article

Liu, Yu

关键词: Stratified Lie group;    Schrodinger operators;    Reverse Holder class;   

DOI  :  10.1016/j.jmaa.2008.08.043

来源: Elsevier

【 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.

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