Spaces Lp, 1≤ p≤∞

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

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


In this chapter we study the class of Lp spaces, 1 ≤ p≤∞, which is one of the most important classes of symmetric spaces. We begin with the Hölder and Minkowski inequalities and prove that Lp is a symmetric space for all 1 ≤ p ≤ ∞. In the case 1 ≤ p < ∞, we show that Lp is separable and describe its dual.

Original languageEnglish
Title of host publicationDevelopments in Mathematics
PublisherSpringer New York LLC
Number of pages11
StatePublished - 1 Jan 2016

Publication series

NameDevelopments in Mathematics
ISSN (Print)1389-2177

ASJC Scopus subject areas

  • General Mathematics


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