The maximal function, an Orlicz-Lorentz subspace, and the multiplication operator
Year: 2025
Type: article
Abstract: The Orlicz-Lorentz space is defined in terms of Young functions applied to the decreasing rearrangement of a function. In this article, we define a subspace of this space, using the maximal function, and study its structure as a Banach space. Additionally, we define a multiplication operator on these subspaces and characterize its most relevant properties.
Source: Cubo
Institutions: Universidad Nacional de Colombia, University of Cartagena
Language: English
Topic: Advanced Banach Space Theory
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4413276501