Second order Riesz transforms associated to the Schrodinger operator for p ≤ 1

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:410

Article

Ly, Fu Ken

关键词: Hardy spaces;    Schrodinger operators;    Riesz transforms;    Reverse Holder;   

DOI  :  10.1016/j.jmaa.2013.08.049

来源: Elsevier

【 摘 要 】

Let L = -Delta + V be the Schrodinger operator on R-n, where V belongs to the class of reverse Holder weights RHq for some q > max{2, n/2}. We show that the second order Riesz transforms del(2) L-1 and V L-1 are bounded from the Hardy spaces H-L(p)(R-n) associated to L into L-p(R-n) for 0 < p <= 1. We show also that the operators del L-2(-1) map the classical Hardy spaces H-p(R-n) into H-p(R-n) for a restricted range of p. (C) 2013 Elsevier Inc. All rights reserved.

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