Abstract-valued Orlicz spaces of range-varying type

This paper mainly deals with the abstract-valued Orlicz spaces of range-varying type. Using notions of Banach space net and continuous modular net etc., we give definitions of Lϱθ(⋅)(I, Xθ(⋅)) and L+ϱθ(⋅)$\begin{array}{} L_{+}^{\varrho_{\theta(\cdot)}} \end{array} $(I, Xθ(⋅)), and discuss their geo...

Full description

Bibliographic Details
Main Author: Zhang Qinghua
Format: Article
Language:English
Published: De Gruyter 2018-08-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2018-0080