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arXiv · 2209.03861

The local Morrey-type space Associated with Ball Quasi-Banach Function Spaces and Application

Mingwei Shi·Jiang Zhou
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Abstract

In this paper, we define for the first time the local Morrey-type space associated with ball quasi-Banach function spaces and show the related series of properties. In addition, Hardy-Littlewood maximal operator's boundedness is proved. We investigate nonsmooth decomposition of the local Morrey-type space associated with ball quasi-Banach function spaces via the Hardy local Morrey-type spaces associated with ball quasi-Banach function spaces. And we consider Hardy operator's boundedness.

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Mingwei Shi, Jiang Zhou. 2022-09-08. The local Morrey-type space Associated with Ball Quasi-Banach Function Spaces and Application. https://arxiv.org/abs/2209.03861

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