Maximal commutator and commutator of maximal operator on 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 İngilizce Basım Tarihi 11-2024
Cilt / Sayı / Sayfa 44 / 4 / 43–49 DOI 10.30546/2617-7900.44.4.2024.043
Makale Linki chrome-extension://efaidnbmnnnibpcajpcglclefindmkaj/https://trans.imm.az/volumes/44-4/4404-06.pdf
Özet
In this paper, we study the boundedness of the maximal commutator Mb and the commutators of the maximal operator [b, M] in the Lorentz spaces Lp,q (ℝn). We give necessary and sufficient conditions for the boundedness of the operators Mb and [b, M] on Lorentz spaces Lp,q (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 | Lorentz space | Maximal operator
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
SCOPUS 11
Maximal commutator and commutator of maximal operator on Lorentz spaces

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