Multi-Parameter Weak Bourgain-Morrey Spaces

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This paper generalizes the concept of weak Bourgain-Morrey spaces introduced by Pratama and Hakim [1]. We define a new class of function spaces, termed multi-parameter weak Bourgain-Morrey spaces , which incorporate additional parameters for finer control over the spatial and distributional behavior of functions. We then establish the fundamental inclusion properties between these spaces. Our results extend the main findings of Pratama and Hakim, demonstrating that under specific conditions on the parameters p,q.s,r, the chain of inclusions holds. This provides a more flexible framework for analyzing function spaces in harmonic analysis.

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