Modular convergence in $H$-Orlicz spaces of Banach valued functions

Hemanta Kalita; Bipan Hazarika

Modular convergence in $H$-Orlicz spaces of Banach valued functions

Functional Analysis 2022-06-07 v1

Authors: Hemanta Kalita , Bipan Hazarika

Abstract

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 $\mcH^\theta(X, \bar{\mu})$ where $X$ is any Banach space are discussed. Relationships of modular convergence and norm convergence of $H$ -Orlicz spaces are discussed.

Keywords

h-orlicz spaces modular convergence banach valued functions generalised young function norm convergence vector-valued functions

Cite

@article{arxiv.2206.02708,
  title  = {Modular convergence in $H$-Orlicz spaces of Banach valued functions},
  author = {Hemanta Kalita and Bipan Hazarika},
  journal= {arXiv preprint arXiv:2206.02708},
  year   = {2022}
}

Related papers

View all related →