Characterizations of anisotropic Lipschitz functions via the commutators of anisotropic maximal function in total anisotropic Morrey spaces
     
Yazarlar (3)
Süleyman Çelik
Fırat Üniversitesi, Türkiye
Prof. Dr. Ali AKBULUT Kırşehir Ahi Evran Üniversitesi, Türkiye
Mehriban N. Omarova
Baku State University, Azerbaycan
Makale Türü Açık Erişim 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 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 Mbd and the commutators of the anisotropic maximal operator[b, Md] in total Morrey spaces Ldp,λ,µ(Rn) when b belongs to anisotropic Lipschitz spaces Λ˙β,d(Rn), whereby some new characterizations for certain subclasses of anisotropic Lipschitz spaces Λ˙β,d(Rn) are obtained.
Anahtar Kelimeler
anisotropic fractional maximal function | anisotropic Lipschitz spaces | anisotropic maximal function | commutator | Total anisotropic Morrey spaces