Some new weighted estimates for p-adic multilinear Hausdorff type operator and its commutators on Morrey–Herz spaces

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作者
Dao Van Duong
Ngo Thi Hong
机构
[1] Mientrung University of Civil Engineering,School of Mathematics
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Multilinear Hausdorff operator; Commutator; Morrey–Herz space; Muckenhoupt’s weight; -adic analysis; 42B35; 46E30; 47B38;
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摘要
The aim of this paper is to discuss the boundedness of multilinear Hausdorff type operators on two-weighted Morrey spaces and Morrey–Herz spaces on the p-adic fields. In particular, we give new necessary and sufficient conditions of sup-inf type for the boundedness of p-adic multilinear Hausdorff type operators on two-weighted Morrey–Herz p-adic spaces. Furthermore, the boundedness of the commutators of these operators with symbols in Lipschitz spaces on such spaces is obtained.
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