Mixed Bourgain-Morrey spaces and their applications to boundedness of operators
Functional Analysis
2026-03-17 v1 Classical Analysis and ODEs
Abstract
We introduce the mixed Bourgain-Morrey spaces and obtain their preduals. The boundedness of Hardy-Littlewood maximal operator, iterated maximal operator, fractional integral operator, singular integral operator on these spaces is proved. In addition, we give a description of the dual of mixed Bourgain-Morrey spaces and conclude the reflexivity of these spaces.
Keywords
Cite
@article{arxiv.2603.15353,
title = {Mixed Bourgain-Morrey spaces and their applications to boundedness of operators},
author = {Tengfei Bai and Pengfei Guo and Jingshi Xu},
journal= {arXiv preprint arXiv:2603.15353},
year = {2026}
}
Comments
We have divided our article `On the mixed Bourgain-Morrey spaces' (arXiv:2511.08118) into two parts; this is the first part