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2018 , Vol. 24 >Issue 5: 721 - 729

DOI: https://doi.org/10.12066/j.issn.1007-2861.1868

Research Articles

Best constants for two classes of Hausdorff operators on the Heisenberg group

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  • College of Sciences, Shanghai University, Shanghai 200444, China

Received date: 2016-12-22

  Online published: 2018-10-26

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Abstract

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.

Key words： Hausdorff operator; Heisenberg group; best constant; (central) Morrey space; central BMO(CBMO) space

Cite this article

GUO Jiuhua . Best constants for two classes of Hausdorff operators on the Heisenberg group[J]. Journal of Shanghai University, 2018 , 24(5) : 721 -729 . DOI: 10.12066/j.issn.1007-2861.1868

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