Journal of Shanghai University(Natural Science Edition) ›› 2018, Vol. 24 ›› Issue (5): 721-729.doi: 10.12066/j.issn.1007-2861.1868

• Research Articles • Previous Articles     Next Articles

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

GUO Jiuhua()   

  1. College of Sciences, Shanghai University, Shanghai 200444, China
  • Received:2016-12-22 Online:2018-10-30 Published:2018-10-26
  • Contact: GUO Jiuhua E-mail:gjh@shu.edu.cn

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

CLC Number: