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arXiv · 2603.15353

Mixed Bourgain-Morrey spaces and their applications to boundedness of operators

Tengfei Bai·Pengfei Guo·Jingshi Xu
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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.

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Tengfei Bai, Pengfei Guo, Jingshi Xu. 2026-03-16. Mixed Bourgain-Morrey spaces and their applications to boundedness of operators. https://arxiv.org/abs/2603.15353

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