A characterization for Adams-type boundedness of the fractional maximal operator on generalized Orlicz-Morrey spaces

TL;DR

This paper provides a characterization of the conditions under which the fractional maximal operator is bounded in a weak or strong sense on generalized Orlicz-Morrey spaces, extending the understanding of operator behavior in these function spaces.

Contribution

It introduces a new characterization for Adams-type boundedness of the fractional maximal operator on generalized Orlicz-Morrey spaces, advancing the theoretical framework.

Findings

Established criteria for boundedness of the fractional maximal operator

Extended Adams-type boundedness results to generalized Orlicz-Morrey spaces

Provided new insights into operator behavior in complex function spaces

Abstract

In the present paper, we shall give a characterization for weak/strong Adams-type boundedness of the fractional maximal operator on generalized Orlicz-Morrey spaces.