Hilbert Journal of Mathematical Analysis
Vol. 3 No. 2 (2025): Hilbert J. Math. Anal.

Inclusion between Bourgain-Morrey spaces and their weak types

Pratama, Aria (Unknown)
Ivanal Hakim, Denny (Unknown)



Article Info

Publish Date
22 Jul 2025

Abstract

This paper aims to explore the embedding relation between Bourgain-Morrey spaces and weak Bourgain-Morrey spaces. Bourgain-Morrey Spaces are important function spaces in harmonic analysis. In this article, we introduce weak Bourgain-Morrey spaces as certain generalization of weak Morrey spaces. We investigate the necessary and sufficient conditions for functions in weak Bourgain-Morrey spaces to also be elements in Bourgain-Morrey spaces, and vice versa. Our result are inclusion between weak Bourgain-Morrey spaces and inclusion of weak Bourgain- Morrey spaces into a certain Bourgain-Morrey spaces. These result generelize the inclusion result in Morrey spaces, weak Morrey spaces, and Bourgain- Morrey spaces.

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Journal Info

Abbrev

hilbertjma

Publisher

Subject

Chemistry Control & Systems Engineering Engineering Mathematics Physics

Description

Hilbert Journal of Mathematical Analysis (Hilbert J. Math. Anal.) is a peer-reviewed, open-access international journal publishing original and high-quality research papers that treat mathematical analysis, geometry, topology, and all closely related topics. It is published by Komunitas Analisis ...