Maximal Commutator and Commutator of Maximal Operator on Lorentz Spaces
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Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan
Erişim Hakkı
info:eu-repo/semantics/closedAccess
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.
Açıklama
Anahtar Kelimeler
BMO space, commutator, Lorentz space, Maximal operator
Kaynak
Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences
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Cilt
44
Sayı
4
Künye
Guliyev, V. S. (2024). Maximal commutator and commutator of maximal operator on Lorentz spaces. Trans. Natl. Acad. Sci. Azerb. Ser. Phys.-Tech. Math. Sci., Mathematics, 44(4), 43-49.
