Articles

SHARP BOUNDS FOR HARDY OPERATORS ON PRODUCT SPACES

  • Mingquan WEI ,
  • Dunyan YAN
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  • 1. School of Mathematics and Statistics, Xinyang Normal University, Xinyang 464000, China;
    2. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China

Received date: 2016-06-07

  Revised date: 2017-06-23

  Online published: 2018-04-25

Supported by

The work is supported by NSFC (11471309, 11271162, and 11561062), Project of Henan Provincial Department of Education (18A110028), the Nanhu Scholar Program for Young Scholars of XYNU, and Doctoral Scientific Research Startup Fund of Xinyang Normal University (2016).

Abstract

In this article, we obtain the sharp bounds from LP(Gn) to the space wLP(Gn) for Hardy operators on product spaces. More generally, the precise norms of Hardy operators on product spaces from LP(Gn) to the space LPI(Gn) are obtained.

Cite this article

Mingquan WEI , Dunyan YAN . SHARP BOUNDS FOR HARDY OPERATORS ON PRODUCT SPACES[J]. Acta mathematica scientia, Series B, 2018 , 38(2) : 441 -449 . DOI: 10.1016/S0252-9602(18)30759-8

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