GENERALIZED WEIGHTED HARDY OPERATORS AND THEIR COMMUTATORS IN THE LOCAL ”COMPLEMENTARY” GENERALIZED VARIABLE EXPONENT WEIGHTED MORREY SPACES

AYKOL KOCAKUŞAKLI C., Azizova Z., Hasanov J.

JOURNAL OF MATHEMATICAL ANALYSIS, cilt.13, 2022 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13
  • Basım Tarihi: 2022
  • Doi Numarası: 10.54379/jma-2022-1-2
  • Dergi Adı: JOURNAL OF MATHEMATICAL ANALYSIS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Anahtar Kelimeler: Local "complementary" generalized variable exponent weighted Morrey spaces, weighted Hardy operator, commutator, BMO, SINGULAR-OPERATORS, INTEGRAL-OPERATORS, BOUNDEDNESS, LEBESGUE
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper we study the boundedness of weighted Hardy operators H-u(alpha) and H-u(alpha) in local "complementary" generalized variable exponent weighted Morrey spaces M-C({0})p(center dot),omega,phi , characterized by variable exponent p(x), a general function omega(r) and a weight phi. We also study the boundedness of the commutators of H-u(alpha) and H-u(alpha) in the spaces M-C({0})p(center dot),omega,phi.