Singular integrals and potentials in grand Lebesgue spaces

Vakhtang Kokilashvili, Alexander Meskhi, Humberto Rafeiro, Stefan Samko

Research output: Chapter in Book/Report/Conference proceedingChapter

8 Citations (Scopus)

Abstract

This chapter deals with mapping properties of maximal, singular integral, and potential operators in weighted generalized grand Lebesgue spaces. Weak and strong type weighted inequalities criteria for these operators (including similar integral transform with product kernels) are established. Single-weight criteria in grand Lebesgue spaces for the Hardy and Riemann-Liouville operators on the cone of non-increasing functions are derived.

Original languageEnglish
Title of host publicationOperator Theory
Subtitle of host publicationAdvances and Applications
PublisherSpringer International Publishing
Pages741-849
Number of pages109
DOIs
Publication statusPublished - 2016
Externally publishedYes

Publication series

NameOperator Theory: Advances and Applications
Volume249
ISSN (Print)0255-0156
ISSN (Electronic)2296-4878

ASJC Scopus subject areas

  • Analysis

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