Best constants for two classes of Hausdorff operators on the Heisenberg group
Received date: 2016-12-22
Online published: 2018-10-26
研究了两类 Heisenberg 群上的 Hausdorff 算子的最佳估计. 分别考虑了这两类算子在中心 Morrey 空间以及 Morrey 空间中的最佳常数, 得到了这两类算子在中心 BMO 空间(central BMO, CBMO)上的最佳常数.
关键词： Hausdorff 算子; Heisenberg 群; 最佳常数; (中心) Morrey 空间; 中心 BMO 空间
郭久华 . 两类 Heisenberg 群上的 Hausdorff 算子的最佳常数[J]. 上海大学学报(自然科学版), 2018 , 24(5) : 721 -729 . DOI: 10.12066/j.issn.1007-2861.1868
The best estimates for two classes of Hausdorff operators on the Heisenberg group was considered. The best constants for the two classes of Hausdorff operators on central Morrey spaces and Morrey spaces were obtained. As applications, the best estimates for the two classes of Hausdorff operators on central BMO (CBMO) spaces were calculated.
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