Characterizations of anisotropic Lipschitz functions via the commutators of anisotropic maximal function in total anisotropic Morrey spaces
Yazarlar (3)
ÖĞRETİM GÖREVLİSİ Süleyman Çelik Fırat Üniversitesi, Türkiye
Prof. Dr. Ali AKBULUT Kırşehir Ahi Evran Üniversitesi, Türkiye
Mehriban N. Omarova Baku State University
Makale Türü Açık Erişim Özgün Makale (SCOPUS dergilerinde yayınlanan tam makale)
Dergi Adı Trans. Natl. Acad. Sci. Azerb. Ser. Phys.-Tech. Math. Sci.
Dergi ISSN 2306-2193
Dergi Tarandığı Indeksler Scopus
Makale Dili İngilizce Basım Tarihi 01-2025
Cilt / Sayı / Sayfa 45 / 1 / 25–37 DOI 10.30546/2617-7900.45.1.2025.025
Makale Linki https://doi.org/10.30546/2617-7900.45.1.2025.025
Özet
We shall give necessary and sufficient conditions for the boundedness of the anisotropic maximal commutators Md b and the commutators of the anisotropic maximal operator [b, Md] in total Morrey spaces Ld p, λ, µ (R n) when b belongs to anisotropic Lipschitz spaces Λβ, d (R n), whereby some new characterizations for certain subclasses of anisotropic Lipschitz spaces Λβ, d (R n) are obtained.
Anahtar Kelimeler
anisotropic fractional maximal function | anisotropic Lipschitz spaces | anisotropic maximal function | commutator | Total anisotropic Morrey spaces