Grand lebesgue spaces on sets of infinite measure

Vakhtang Kokilashvili, Alexander Meskhi, Humberto Rafeiro, Stefan Samko

Research output: Chapter in Book/Report/Conference proceedingChapter


In this chapter we introduce grand Lebesgue spaces on open sets Ω of infinite measure in ℝn, controlling the integrability of |f(x)|p−ε at infinity by means of a weight (depending also on ε); in general, such spaces are different for different ways to introduce dependence of the weight on ε.

Original languageEnglish
Title of host publicationOperator Theory
Subtitle of host publicationAdvances and Applications
PublisherSpringer International Publishing
Number of pages20
Publication statusPublished - 2016
Externally publishedYes

Publication series

NameOperator Theory: Advances and Applications
ISSN (Print)0255-0156
ISSN (Electronic)2296-4878

ASJC Scopus subject areas

  • Analysis


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