Función maximal, un subespacio de Orlicz-Lorentz, y el operador multiplicación: The maximal function, an Orlicz-Lorentz subspace, and the multiplication operator

René Erlin Castillo; Héctor Camilo Chaparro

doi:10.56754/0719-0646.2702.233

DOI:

https://doi.org/10.56754/0719-0646.2702.233

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.

Resumen

El espacio de Orlicz-Lorentz se define en términos de funciones de Young aplicadas al reordenamiento decreciente de una función. En este artículo, definimos un subespacio de este espacio, usando la función maximal, y estudiamos su estructura como espacio de Banach. Además, definimos un operador de multiplicación en estos subespacios y caracterizamos sus propiedades más relevantes.

Keywords

Orlicz-Lorentz spaces , maximal function , multiplication operator

Mathematics Subject Classification:

47B33 , 47B38 , 46E30

René Erlin Castillo Departamento de Matemáticas Universidad Nacional de Colombia, Bogotá, Colombia. https://orcid.org/0000-0003-1113-5827
Héctor Camilo Chaparro Programa de Matemáticas, Universidad de Cartagena, Cartagena de Indias, Colombia. https://orcid.org/0000-0002-0723-8199

Pages: 233–265
Date Published: 2025-08-18
In Press

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