Inversion of the Bessel potential operator in weighted variable Lebesgue spaces

Alexandre Almeida, Humberto Rafeiro

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

We study the inversion problem of the Bessel potential operator within the frameworks of the weighted Lebesgue spaces with variable exponent. The inverse operator is constructed by using approximative inverse operators. This generalizes some classical results to the variable exponent setting.

Original languageEnglish
Pages (from-to)1336-1346
Number of pages11
JournalJournal of Mathematical Analysis and Applications
Volume340
Issue number2
DOIs
Publication statusPublished - Apr 15 2008
Externally publishedYes

Keywords

  • Approximative inverse operators
  • Bessel potentials
  • Variable exponent
  • Weighted spaces

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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