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Discrete Bourgain-Morrey Spaces Cover

Abstract

We address discrete versions of Bourgain-Morrey spaces. We prove some basic properties and introduce several equivalent norms on these spaces. Finally, we analyze the action of a dyadic version of the Hardy-Littlewood maximal operatoronsuchspaces.

DOI: https://doi.org/10.2478/tmmp-2025-0011 | Journal eISSN: 1338-9750 | Journal ISSN: 12103195
Language: English
Page range: 103 - 126
Submitted on: Oct 29, 2024
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Accepted on: Apr 13, 2025
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Published on: Nov 29, 2025
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2025 Martha Guzmán-Partida, Luis San Martín, Alejandro Villegas-Acuña, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.