MAXIMAL AND SINGULAR INTEGRAL OPERATORS AND THEIR COMMUTATORS ON GENERALIZED WEIGHTED MORREY SPACES WITH VARIABLE EXPONENT
Yazarlar (3)
Prof. Dr. Vagıf GULIYEV Kırşehir Ahi Evran Üniversitesi, Türkiye
Javanshir J. Hasanov
Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
Xayyam A. Badalov
Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
|
||
| Dergi Adı | Mathematical Inequalities and Applications (Q1) | ||
| Dergi ISSN | 1331-4343 Wos Dergi Scopus Dergi | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2018 |
| Cilt / Sayı / Sayfa | 21 / 1 / 41–61 | DOI | – |
| Makale Linki | https://www.researchgate.net/profile/Javanshir-Hasanov/publication/322176813_Maximal_and_singular_integral_operators_and_their_commutators_on_generalized_weighted_Morrey_spaces_with_variable_exponent/links/5b7dce03a6fdcc5f8b5c8a58/Maximal-and-singula | ||
| Özet |
| We consider the generalized weighted Morrey spaces M p (·), ϕ ω (Ω) with variable exponent p (x) and a general function ϕ (x, r) defining the Morrey-type norm. In case of unbounded sets Ω⊂ Rn we prove the boundedness of the Hardy-Littlewood maximal operator and Calderón-Zygmund singular operators with standard kernel, in such spaces. We also prove the boundedness of the commutators of maximal operator and Calderón-Zygmund singular operators in the generalized weighted Morrey spaces with variable exponent |
| Anahtar Kelimeler |
| BMO space | Generalized weighted Morrey space with variable exponent | Maximal operator | Singular integral operators |
