Grand lebesgue spaces on sets of infinite measure

Vakhtang Kokilashvili; Alexander Meskhi; Humberto Rafeiro; Stefan Samko

doi:10.1007/978-3-319-21018-6_5

Grand lebesgue spaces on sets of infinite measure

Vakhtang Kokilashvili, Alexander Meskhi, Humberto Rafeiro, Stefan Samko

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract

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 language	English
Title of host publication	Operator Theory
Subtitle of host publication	Advances and Applications
Publisher	Springer International Publishing
Pages	851-870
Number of pages	20
DOIs	https://doi.org/10.1007/978-3-319-21018-6_5
Publication status	Published - 2016
Externally published	Yes

Publication series

Name	Operator Theory: Advances and Applications
Volume	249
ISSN (Print)	0255-0156
ISSN (Electronic)	2296-4878

ASJC Scopus subject areas

Analysis

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10.1007/978-3-319-21018-6_5

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abstract = "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.",

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AU - Rafeiro, Humberto

AU - Samko, Stefan

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AB - 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.

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Grand lebesgue spaces on sets of infinite measure

Abstract

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