Weighted Hardy operators in local generalized Orlicz-Morrey spaces

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Aykol C., Azizova Z. O., Hasanov J. J.

CARPATHIAN MATHEMATICAL PUBLICATIONS, cilt.13, sa.2, ss.522-533, 2021 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 2
  • Basım Tarihi: 2021
  • Doi Numarası: 10.15330/cmp.13.2.522-533
  • Dergi Adı: CARPATHIAN MATHEMATICAL PUBLICATIONS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH, Directory of Open Access Journals
  • Sayfa Sayıları: ss.522-533
  • Anahtar Kelimeler: weighted Hardy operator, local generalized Orlicz-Morrey space, local BMO space, MAXIMAL FUNCTIONS, INEQUALITIES
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we find sufficient conditions on general Young functions (phi, psi) and the functions (phi 1, phi 2) ensuring that the weighted Hardy operators A(omega)(alpha) and A(omega)(alpha) are of strong type from a local generalized Orlicz-Morrey space M-phi phi 1(0, loc), (R-n) into another local generalized Orlicz-Morrey space M-Psi,M- (0, loc)(phi 2), (R-n). We also obtain the boundedness of the commutators of A(omega)(alpha) and A(omega)(alpha) from M-phi, phi 1(0, loc) (R-n) to M-psi, phi 2(0, loc)(R-n).