Discrete Bourgain-Morrey Spaces

Martha Guzmán-Partida; Luis San Martín; Alejandro Villegas-Acuña

doi:10.2478/tmmp-2025-0011

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Discrete Bourgain-Morrey Spaces

Tatra Mountains Mathematical Publications

Volume 89 (2025): Issue 1 (September 2025)

By: Martha Guzmán-Partida, Luis San Martín and Alejandro Villegas-Acuña

Open Access

|Nov 2025

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.

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Articles in this issue

DOI: https://doi.org/10.2478/tmmp-2025-0011 | Journal eISSN: 1338-9750 | Journal ISSN: 1210-3195

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Language: English

Page range: 103 - 126

Submitted on: Oct 29, 2024

Accepted on: Apr 13, 2025

Published on: Nov 29, 2025

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

Bourgain-Morrey space,

equivalent norms,

dyadic maximal function

Related subjects:

Mathematics,

General mathematics

© 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.

Volume 89 (2025): Issue 1 (September 2025)