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...

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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
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description 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.
doi_str_mv 10.1007/s12215-023-00871-x
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subjects Algebra
Analysis
Applications of Mathematics
Banach spaces
Convergence
Geometry
Mathematics
Mathematics and Statistics
Orlicz space
title Modular convergence in H-Orlicz spaces of Banach valued functions
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