Certain properties of Generalization of $L^p-$Spaces for $0 < p < 1$
Functional Analysis
2022-05-24 v1
Abstract
This paper introduces the notion of function and gives a generalization of for denoted by where is an function. As well as, this paper examines some properties regarding to this generalized spaces and its linear forms, including some analogies and common features to some other well known spaces. As well as, we prove this space is a quasi-normed space but it is not normed space.
Cite
@article{arxiv.2205.10633,
title = {Certain properties of Generalization of $L^p-$Spaces for $0 < p < 1$},
author = {Rabab Elarabi and Mouhssine El-Arabi and Mohamed Rhoudaf},
journal= {arXiv preprint arXiv:2205.10633},
year = {2022}
}