End Point Estimate of Littlewood-Paley Operator Associated to the Generalized Schrödinger Operator

[摘要] Let be the generalized Schrödinger operator on where is a nonnegative Radon measure satisfying certain scale-invariant Kato conditions and doubling conditions. In this work, we give a new space associated to the generalized Schrödinger operator , which is bigger than the spaces related to the classical Schrödinger operators , with a potential satisfying a reverse Hölder inequality introduced by Dziubański et al. in 2005. Besides, the boundedness of the Littlewood-Paley operators associated to in also be proved.

[学科分类] 护理学