Maximal commutator and commutator of maximal function on total Morrey spaces
Yazarlar (1)
Prof. Dr. Vagıf GULIYEV Kırşehir Ahi Evran Üniversitesi, Türkiye
Makale Türü Açık Erişim Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
Dergi Adı Journal of Mathematical Inequalities (Q1)
Dergi ISSN 1846-579X Wos Dergi Scopus Dergi
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili Türkçe Basım Tarihi 01-2022
Cilt / Sayı / Sayfa 16 / 4 / 1509–1524 DOI
Makale Linki https://files.ele-math.com/articles/jmi-16-98.pdf
Özet
In this paper we introduce a new variant of Morrey spaces called total Morrey spaces Lp, λ, μ (Rn). These spaces generalize the classical Morrey spaces so that Lp, λ, λ (Rn)≡ Lp, λ (Rn) and the modified Morrey spaces so that Lp, λ, 0 (Rn)= Lp, λ (Rn). We give basic properties of the spaces Lp, λ, λ (Rn) and study some embeddings into the Morrey space Lp, λ, μ (Rn). We also give necessary and sufficient conditions for the boundedness of the maximal commutator operator Mb and commutator of maximal operator [b, M] on Lp, λ, μ (Rn). We obtain some new characterizations for certain subclasses of BMO (Rn).
Anahtar Kelimeler
Bmo spaces | Commutator | Maximal operator | Total morrey spaces
Atıf Sayıları
Google Scholar 31
Web of Science 17

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