ON THE BEHAVIORS OF ROUGH FRACTIONAL TYPE SUBLINEAR OPERATORS ON VANISHING GENERALIZED WEIGHTED MORREY SPACES

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GÜRBÜZ F.

International Journal of Analysis and Applications, cilt.17, sa.3, ss.440-447, 2019 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 17 Sayı: 3
  • Basım Tarihi: 2019
  • Doi Numarası: 10.28924/2291-8639-17-2019-440
  • Dergi Adı: International Journal of Analysis and Applications
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.440-447
  • Anahtar Kelimeler: (Formula Presented) weight, fractional type sublinear operator, rough kernel, vanishing generalized weighted Morrey space
  • Hakkari Üniversitesi Adresli: Evet

Özet

The aim of this paper is to get the boundedness of rough sublinear operators generated by fractional integral operators on vanishing generalized weighted Morrey spaces under generic size conditions which are satisfied by most of the operators in harmonic analysis. Also, rough fractional integral operator and a related rough fractional maximal operator which satisfy the conditions of our main result can be considered as some examples.