DOI: 10.21276/sjpms.2017.4.4.10

Pages: 211-217

Set L   V be a Schrödinger operator, where V is a non-negative potential belonging to some reverse Hölder class. In this paper, using the properties of the Marcinkiewicz integrals associated with operators and the estimate of the classical inequalities and Muckenhoupt weighted functions, the authors obtained the boundedness of Marcinkiewicz integrals associated with Schrödinger operators on Lp() () , where p()[1,) and   Ap(). Then, the boundedness of Marcinkiewicz integrals associated with Schrödinger operator  Lj on weighted Herz spaces with variable exponent is established. Keywords: Schrödinger operator, Marcinkiewicz integral, variable exponent, weighted, boundedness, Herz space