Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 484, Issue 2, Pages -Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2019.123731
Keywords
Schrodinger operator; Muckenhoupt weight; Littlewood-Paley function; Quantitative boundedness
Categories
Funding
- National Natural Science Foundation of China [11971058, 11761131002, 11671185]
- Fundamental Research Funds for the Central Universities [2018QS01]
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Let L := -Delta + V be the Schrodinger operator on R-n with n >= 3, where V is a non-negative potential which belongs to certain reverse Holder class RHq(R-n) with q is an element of (n/2, infinity). In this article, the authors obtain the quantitative weighted boundedness of Littlewood-Paley functions g(L), S-L and g(L,) (lambda)*, associated to L, on weighted Lebesgue spaces L-P(w), where w belongs to the class of Muckenhoupt A(P), weights adapted to L. (C) 2019 Elsevier Inc. All rights reserved.
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