Maximal and fractional maximal operators in the Lorentz-Morrey spaces and their applications to the Bochner-Riesz and Schrödinger-type operators

The aim of this paper is to obtain boundedness conditions for the maximal function Mf and prove necessary sufficient fractional oparator Ma in Lorentz Morrey spaces which are a new class functions. We get our main results by using obtained sharp rearrangement estimates. applied particular operators such as Bochner Riesz operator Schrodinger type spaces, where nonnegative potential V belongs reverse Holder class.