Boundedness of integral operators on generalized Morrey spaces and its application to Schrödinger operators

Author:

Kurata Kazuhiro,Nishigaki Seiichi,Sugano Satoko

Abstract

In this paper, we study boundedness of integral operators on generalized Morrey spaces and its application to estimates in Morrey spaces for the Schrödinger operator L 2 = Δ + V ( x ) + W ( x ) L_2=-\Delta +V(x)+W(x) with nonnegative V ( R H ) V\in (RH)_{\infty } (reverse Hölder class) and small perturbed potentials W W .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

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