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

摘要

We investigate a class of fractional Hardy type operators H1,2,...,m defined on higher-dimensional product spaces n1xn2xxnm 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].