Two-weighted estimates for multilinear Hausdorff operators on the Morrey–Herz spaces

被引:0
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作者
Nguyen Minh Chuong
Dao Van Duong
Nguyen Duc Duyet
机构
[1] Vietnamese Academy of Science and Technology,Institute of mathematics
[2] Mientrung University of Civil Engineering,School of Mathematics
[3] FPT University,undefined
[4] Hoa Lac High Tech Park,undefined
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Multilinear operator; Hausdorff operator; Hardy–Cesàro operator; Two-weighted Morrey–Herz space; Muckenhoupt weights; 42B35; 46E30; 47B38;
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摘要
The purpose of this paper is to establish some necessary and sufficient conditions for the boundedness of the multilinear Hausdorff operators on the product of some two-weighted function spaces such as the two-weighted Morrey, Herz and Morrey–Herz spaces. Moreover, some sufficient conditions for the boundedness of multilinear Hausdorff operators on such spaces with respect to the Muckenhoupt weights are also given.
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页码:1780 / 1813
页数:33
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