Characterizations of anisotropic Lipschitz functions via the commutators of anisotropic maximal function in Lorentz spaces
Yazarlar (3)
Prof. Dr. Ali AKBULUT Kırşehir Ahi Evran Üniversitesi, Türkiye
F. A. Isayev Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
M. N. Omarova 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 | Integral Transforms and Special Functions (Q2) | ||
| Dergi ISSN | 1065-2469 Wos Dergi Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2026 |
| Cilt / Sayı / Sayfa | 0 / 1 / 1–10 | DOI | 10.1080/10652469.2025.2544999 |
| Makale Linki | https://doi.org/10.1080/10652469.2025.2544999 | ||
| Özet |
| In this paper, we study the anisotropic maximal commutator and the commutator of the anisotropic maximal operator in the Lorentz spaces . We obtain necessary and sufficient conditions for the boundedness of the operators and on the Lorentz spaces when b belongs to anisotropic Lipschitz spaces Λ˙β,d(Rn). We obtain some new characterizations for certain subclasses of Λ˙β,d(Rn). |
| Anahtar Kelimeler |
| anisotropic Lipschitz spaces | anisotropic maximal operator | commutator | Lorentz spaces |