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, cilt.10, sa.Specialissue, ss.73-84, 2020 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: Specialissue
  • Basım Tarihi: 2020
  • Dergi Adı: Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.73-84
  • Anahtar Kelimeler: Commutator, Fractional integral operator, Generalized vanishing local morrey space, Local campanato space, Rough kernel, Sublinear operator
  • Hakkari Üniversitesi Adresli: Evet

Özet

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.