Applications to singular integral equations

Vakhtang Kokilashvili, Alexander Meskhi, Humberto Rafeiro, Stefan Samko

Research output: Chapter in Book/Report/Conference proceedingChapter

3 Citations (Scopus)


We give an application of the weighted results obtained in Theorem 2.45 with power weights to the theory of Fredholm solvability of singular integral equations (10.1) with piecewise continuous coefficients. As is well known to researches in this field, to investigate such equations in a specific function space, it is important to know precise necessary and sufficient conditions for a weighted singular operator to be bounded in that space.

Original languageEnglish
Title of host publicationOperator Theory
Subtitle of host publicationAdvances and Applications
PublisherSpringer International Publishing
Number of pages62
Publication statusPublished - 2016
Externally publishedYes

Publication series

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


  • Compact operator
  • Essential spectrum
  • Singular integral equation
  • Singular integral operator
  • Weighted space

ASJC Scopus subject areas

  • Analysis


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