Anisotropic Maximal Commutator and Commutator of Anisotropic Maximal Operator on Lorentz Spaces
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Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan
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info:eu-repo/semantics/closedAccess
Özet
In this paper we consider the anisotropic maximal commutator Mbd and the commutator of the anisotropic maximal operator [b, Md] on the Lorentz spaces Lp,q (ℝn). We obtain necessary and sufficient conditions for the boundedness of the operators Mbd and[b, Md] on Lp,q (ℝn) when b belongs to the bounded mean oscillation space BMO(ℝn), whereby some new characterizations for certain subclasses of BMO(ℝn) are obtained. © 2024, Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan. All rights reserved.
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anisotropic maximal operator, BMO spaces, commutator, Lorentz spaces
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Transactions of National Academy of Sciences of Azerbaijan. Series of Physical-Technical and Mathematical Sciences
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Cilt
44
Sayı
4
Künye
Akbulut, A., Isayev, F. A., & Serbetci, A. (2024). Anisotropic maximal commutator and commutator of anisotropic maximal operator on Lorentz spaces. Trans. Natl. Acad. Sci. Azerb. Ser. Phys.-Tech. Math. Sci., Mathematics, 44(4), 5-12.
