On Orlicz Theory
Functional Analysis
2019-12-13 v1
Abstract
In this paper, based on concepts of convex sets and convex functions, we introduce new concepts of functions, Young functions, strong Young functions and Orlicz functions by relaxing definitions of functions, Young functions, strong Young functions, Orlicz functions respectively. We also give concepts of Orlicz spaces, weak Orlicz spaces, Orlicz Sobolev spaces, weak Orlicz Sobolev spaces, Orlicz Morrey spaces and weak Orlicz Morrey spaces, Orlicz Lorentz spaces and weak Orlicz Lorentz spaces. In addition, we consider the implicit properties based on the effect of an operator on the functions and the spaces
Keywords
Cite
@article{arxiv.1912.05959,
title = {On Orlicz Theory},
author = {Abdulhameed Qahtan Abbood Altai and Nada Mohammed Abbas Alsafar},
journal= {arXiv preprint arXiv:1912.05959},
year = {2019}
}
Comments
arXiv admin note: text overlap with arXiv:1905.06248