n 维 Hausdorff 算子的加权不等式
The Weighted Inequalities of n-Dimensional Hausdorff Operators
DOI: 10.12677/PM.2021.115093, PDF, HTML, 下载: 376  浏览: 565  国家自然科学基金支持
作者: 周红秀：上海大学数学系, 上海
关键词: 算子；共轭 Hausdorff 算子；权函数；Hausdorff Operator； Adjoint Hausdorff Operator； Weight
摘要: 本文主要获得一些 n 维 Hausdorff 算子在加双权勒贝格函数空间中的有界性关于权函数的充要条件. 我们同时得到了 n 维共轭 Hausdorff 算子的加权不等式。
Abstract: In this paper, we obtain some necessary and sufficient conditions for the boundedness of the n-dimensional Hausdorff operators on the two-weighted Lebesgue spaces. The corresponding results for the adjoint of n-dimensional Hausdorff operators are also obtained.
文章引用：周红秀. n 维 Hausdorff 算子的加权不等式[J]. 理论数学, 2021, 11(5): 790-801. https://doi.org/10.12677/PM.2021.115093

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