Pointwise multipliers on weak Orlicz spaces
Ryota Kawasumi, Eiichi Nakai
TL;DR
This paper characterizes the functions that act as pointwise multipliers between different weak Orlicz spaces, providing a detailed understanding of their structure and properties.
Contribution
It offers a new characterization of pointwise multipliers specifically for weak Orlicz spaces, which was not previously established.
Findings
Identified necessary and sufficient conditions for multipliers
Extended the theory of Orlicz spaces to weak variants
Provided a framework for future research on function space multipliers
Abstract
We characterize the pointwise multipliers from a weak Orlicz space to another weak Orlicz space.
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Taxonomy
TopicsAdvanced Harmonic Analysis Research · Advanced Banach Space Theory · Holomorphic and Operator Theory