Uniform rotundity in every direction of Orlicz-Sobolev spaces

Autor:	Fayun Cao, Bing Wang, Rui Mao
Jazyk:	angličtina
Předmět:	Pure mathematics Mathematics::Classical Analysis and ODEs Mathematics::Analysis of PDEs modular norm Computer Science::Computational Geometry 01 natural sciences Sobolev inequality rotund Discrete Mathematics and Combinatorics Birnbaum–Orlicz space 0101 mathematics Extreme point Lp space Mathematics Mathematics::Functional Analysis Topological tensor product lcsh:Mathematics Applied Mathematics 010102 general mathematics Mathematical analysis Orlicz-Sobolev spaces lcsh:QA1-939 010101 applied mathematics Sobolev space Norm (mathematics) Interpolation space Analysis
Zdroj:	Journal of Inequalities and Applications, Vol 2016, Iss 1, Pp 1-10 (2016)
ISSN:	1029-242X
DOI:	10.1186/s13660-016-1220-z
Popis:	In this paper, we study the extreme points and rotundity of Orlicz-Sobolev spaces. Analyzing and combining the properties of both Orlicz spaces and Sobolev spaces, we get the sufficient and necessary criteria for Orlicz-Sobolev spaces equipped with a modular norm to be uniformly rotund in every direction.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8383a4f25b604fd3241a66bb1c6cfcac Zobrazit plný text záznamu Plný text ve formátu PDF