Modular convergence in H-Orlicz spaces of Banach valued functions

In this article we develop the theory of H -Orlicz space generated by generalised Young function. Modular convergence of H -Orlicz space for the case of vector-valued functions and norm convergence in H θ ( X , μ ¯ ) where X is any Banach space are discussed. Relationships of modular convergence and...

Full description

Saved in:
Bibliographic Details
Published in:Rendiconti del Circolo matematico di Palermo 2023-12, Vol.72 (8), p.3905-3916
Main Authors: Kalita, Hemanta, Hazarika, Bipan
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Banach spaces
Convergence
Geometry
Mathematics
Mathematics and Statistics
Orlicz space
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this article we develop the theory of H -Orlicz space generated by generalised Young function. Modular convergence of H -Orlicz space for the case of vector-valued functions and norm convergence in H θ ( X , μ ¯ ) where X is any Banach space are discussed. Relationships of modular convergence and norm convergence of H -Orlicz spaces are discussed.
ISSN:0009-725X
1973-4409
DOI:10.1007/s12215-023-00871-x