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arXiv · 2111.03726

Maximal and Calderon-Zygmund operators on the local variable Morrey-Lorentz spaces and some applications

A. Kucukaslan·V. S. Guliyev·C. Aykol·A. Serbetci
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Abstract

In this paper, we give the definition of local variable Morrey Lorentz spaces which are a new class of functions. Also, we prove the boundedness of the Hardy Littlewood maximal operator M and Calderon Zygmund operators T on these spaces. Finally, we apply these results to the Bochner Riesz operator, identity approximation and the Marcinkiewicz operator on these spaces.

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A. Kucukaslan, V. S. Guliyev, C. Aykol, A. Serbetci. 2021-11-05. Maximal and Calderon-Zygmund operators on the local variable Morrey-Lorentz spaces and some applications. https://doi.org/10.1080/00036811.2021.1952995

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