Commutators of maximal operator and sharp maximal operator on local Morrey-Lorentz spaces

GULIYEV, VAGIF

doi:10.30546/2617-7900.45.1.2025.038

Commutators of maximal operator and sharp maximal operator on local Morrey-Lorentz spaces

Yazarlar (1)

Prof. Dr. Vagıf GULIYEV Kırşehir Ahi Evran 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
Makale Dili	Türkçe	Basım Tarihi	01-2025
Cilt / Sayı / Sayfa	45 / 1 / 38–53	DOI	10.30546/2617-7900.45.1.2025.038
Makale Linki	https://doi.org/10.30546/2617-7900.45.1.2025.038

Özet

In this paper, we study the boundedness of the maximal commutator operator Mb, the commutators of the maximal operator [b, M] and the commutators of the sharp maximal operator [b, M^♯ ] in the local Morrey-Lorentz spaces Mp,q;λ^{loc (}ℝⁿ). We give necessary and sufficient conditions for the boundedness of the operators Mb, [b, M] and [b, M^♯ ] on local Morrey-Lorentz spaces Mp,q;λ^{loc (}ℝⁿ) when b belongs to BMO(ℝⁿ) spaces, whereby some new characterizations for certain subclasses of BMO(ℝⁿ) spaces are obtained.

Anahtar Kelimeler

BMO space | commutator | local Morrey-Lorentz space | Maximal operator

BM Sürdürülebilir Kalkınma Amaçları

Atıf Sayıları
SCOPUS	3

Commutators of maximal operator and sharp maximal operator on local Morrey-Lorentz spaces

Dergi Adı	Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences
Yayıncı	Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan
Açık Erişim	Hayır
ISSN	3005-8139
E-ISSN	2617-7900
CiteScore	1,1
SJR	0,338
SNIP	0,500

Commutators of maximal operator and sharp maximal operator on local Morrey-Lorentz spaces

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