Intersections and sums 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 study the intersections and the sums of Orlicz spaces. In particular, for every pair of mutually conjugate Orlicz functions Φ and ψ, the Orlicz spaces (LΦ∩L, Lψ+L1) and (LΦ+L, Lψ∩L1) are described. In particular, the spaces Lp + Lq and Lp ∩ Lq, 1 ≤ p, q≤∞, are considered in greater detail.

Original languageEnglish
Title of host publicationDevelopments in Mathematics
PublisherSpringer New York LLC
Pages217-235
Number of pages19
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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