RESEARCH ARTICLE

Sharp bounds for Hardy type operators on higher-dimensional product spaces

  • Qianjun HE ,
  • Xiang LI ,
  • Dunyan YAN
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  • School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China

Received date: 29 Sep 2018

Accepted date: 07 Dec 2018

Published date: 02 Jan 2019

Copyright

2018 Higher Education Press and Springer-Verlag GmbH Germany, part of Springer Nature

Abstract

We investigate a class of fractional Hardy type operators Hβ1,β2,,βm defined on higher-dimensional product spaces n1×n2××nm and use novel methods to obtain their sharp bounds. In particular, we optimize the result due to S. M. Wang, S. Z. Lu, and D. Y. Yan [Sci. China Math., 2012, 55(12): 2469–2480].

Cite this article

Qianjun HE , Xiang LI , Dunyan YAN . Sharp bounds for Hardy type operators on higher-dimensional product spaces[J]. Frontiers of Mathematics in China, 2018 , 13(6) : 1341 -1353 . DOI: 10.1007/s11464-018-0740-x

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