Decompositions of Local mixed Morrey-type spaces and Application

TL;DR

This paper explores the structure of local mixed Morrey-type spaces, including their predual and Hardy space characterizations, and applies these findings to analyze Hardy operators within these spaces.

Contribution

It introduces the predual spaces and Hardy space characterizations of local mixed Morrey-type spaces, along with nonsmooth decompositions and applications to Hardy operators.

Findings

Predual spaces of local mixed Morrey-type spaces are established.

Characterization of mixed Hardy local Morrey-type spaces is provided.

Applications to Hardy operators demonstrate their boundedness on these spaces.

Abstract

In this paper, we obtain predual spaces of local mixed Morrey-type spaces, characterize mixed Hardy local Morrey-type spaces. Further also, investigate nonsmooth decomposition of local mixed Morrey-type spaces. As an application, we consider the Hardy operators on local mixed Morrey-type spaces.