Quantitative boundedness of Littlewood-Paley functions on weighted Lebesgue spaces in the Schrodinger setting

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.