Potential operators in modified Morrey spaces defined on Carleson curves

Dadashova I. B., Aykol C., Cakir Z., ŞERBETÇİ A.

Transactions of A. Razmadze Mathematical Institute, cilt.172, sa.1, ss.15-29, 2018 (Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 172 Sayı: 1
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1016/j.trmi.2017.09.004
  • Dergi Adı: Transactions of A. Razmadze Mathematical Institute
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.15-29
  • Anahtar Kelimeler: Carleson curves, Modified Morrey spaces, BMO spaces, Potential operators, Sobolev-Morrey inequality, SINGULAR-OPERATORS, MAXIMAL OPERATORS, LEBESGUE SPACES, BOUNDEDNESS, MINIMIZERS, REGULARITY
  • Ankara Üniversitesi Adresli: Evet

Özet

© 2017 Ivane Javakhishvili Tbilisi State UniversityIn this paper we study the potential operator IΓ α, 0<1 in the modified Morrey space L˜p,λ(Γ) and the spaces BMO(Γ) defined on Carleson curves Γ. We prove that for 1