GENERALIZED WEIGHTED HARDY OPERATORS AND THEIR COMMUTATORS IN THE LOCAL ”COMPLEMENTARY” GENERALIZED VARIABLE EXPONENT WEIGHTED MORREY SPACES
JOURNAL OF MATHEMATICAL ANALYSIS, cilt.13, 2022 (ESCI)
- 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.