Anisotropic maximal commutator and commutator of anisotropic maximal operator on Lorentz spaces
Yazarlar (3)
Prof. Dr. Ali AKBULUT
Kırşehir Ahi Evran Üniversitesi, Türkiye
Institute Of Mathematics And Mechanics Ministry Of Science And Education Republic Of Azerbaijan, Azerbaycan
Ankara Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SCOPUS dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Transactions of National Academy of Sciences of Azerbaijan Series of Physical Technical and Mathematical Sciences | ||
| Dergi ISSN | 3005-8139 Scopus Dergi | ||
| Dergi Tarandığı Indeksler | SCOPUS, Mathematical Reviews, Zentralblatt MATH and Math-net.ru. | ||
| Makale Dili | İngilizce | Basım Tarihi | 09-2024 |
| Cilt / Sayı / Sayfa | 44 / 4 / 5–12 | DOI | – |
| Makale Linki | https://trans.imm.az/inpress/4404-11.pdf | ||
| Özet |
| In this paper we consider the anisotropic maximal commutator Mbd and the commutator of the anisotropic maximal operator [b, Md] on the Lorentz spaces Lp,q (ℝn). We obtain necessary and sufficient conditions for the boundedness of the operators Mbd and[b, Md] on Lp,q (ℝn) when b belongs to the bounded mean oscillation space BMO(ℝn), whereby some new characterizations for certain subclasses of BMO(ℝn) are obtained. |
| Anahtar Kelimeler |
| anisotropic maximal operator | BMO spaces | commutator | Lorentz spaces |
