Definition and examples of orlicz spaces

Ben Zion A. Rubshtein, Genady Ya Grabarnik, Mustafa A. Muratov, Yulia S. Pashkova

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

In this chapter, we begin our study of Orlicz functions Φ and corresponding Orlicz spaces LΦ. We prove that (LΦ, ∥·∥) is a maximal symmetric space, find the fundamental functions φ of LΦ, and consider several simple examples.

Original languageEnglish
Title of host publicationDevelopments in Mathematics
PublisherSpringer New York LLC
Pages171-182
Number of pages12
DOIs
StatePublished - 1 Jan 2016

Publication series

NameDevelopments in Mathematics
Volume45
ISSN (Print)1389-2177

ASJC Scopus subject areas

  • Mathematics (all)

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