Sublinear operators with rough kernel generated by fractional integrals and commutators on generalized vanishing local Morrey spaces

GÜRBÜZ F.

Turkish World Mathematical Society Journal of Applied and Engineering Mathematics, vol.10, no.Specialissue, pp.73-84, 2020 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 10 Issue: Specialissue
  • Publication Date: 2020
  • Journal Name: Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.73-84
  • Keywords: Commutator, Fractional integral operator, Generalized vanishing local morrey space, Local campanato space, Rough kernel, Sublinear operator
  • Hakkari University Affiliated: Yes

Abstract

In this work, we consider the norm inequalities for sublinear operators with rough kernel generated by fractional integrals and commutators on generalized vanishing local Morrey spaces including their weak versions under generic size conditions which are satisfied by most of the operators in harmonic analysis, respectively.