Abstract:
This paper generalizes the concept of weak Bourgain-Morrey spaces introduced by Pratama and Hakim [1]. We defi ne a new class of function spaces, termed
multi-parameter weak Bourgain-Morrey spaces ,
,
p s M
q r
, which incorporate additional parameters for fi ner control over the spatial and distributional behavior of
functions. We then establish the fundamental inclusion properties between these spaces. Our results extend the main fi ndings of Pratama and Hakim, demonstrating
that under specifi c conditions on the parameters p,q.s,r, the chain of inclusions ,,, 2 21
, ,, 2 21 2 21
ps ps ps
q r qp r q r
holds. This provides a more flexible
framework for analyzing function spaces in harmonic analysis.
