Characterizations for the fractional maximal commutator operator in generalized Morrey spaces on Carnot group

Guliyev V., Ekincioglu I., KAYA E., Safarov Z.

Integral Transforms and Special Functions, cilt.30, sa.6, ss.453-470, 2019 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30 Sayı: 6
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1080/10652469.2019.1581777
  • Dergi Adı: Integral Transforms and Special Functions
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.453-470
  • Anahtar Kelimeler: 42B25, 42B35, 43A15, 43A80, BMO, Carnot group, commutator, fractional maximal operator, generalized Morrey space
  • Bilecik Şeyh Edebali Üniversitesi Adresli: Hayır

Özet

In this paper, we will obtain the new results of the strong and weak Spanne-Guliyev, Adams-Guliyev and Adams-Gunawan type boundedness characterization of the fractional maximal operator M α in generalized Morrey spaces, respectively. Moreover, we will give a characterization for the boundedness of the fractional maximal commutator operator M b,α in generalized Morrey spaces.