%0 Journal Article
%T A Hilbert-Type Inequality with Some Parameters and the Integral in Whole Plane
%A Zitian Xie
%A Zheng Zeng
%J Advances in Pure Mathematics
%P 84-89
%@ 2160-0384
%D 2011
%I Scientific Research Publishing
%R 10.4236/apm.2011.13019
%X In this paper, by introducing some parameters and estimating the weight coefficient, we give a new HilbertĄ¯s inequality with the integral in whole plane and with a non-homogeneous and the equivalent form is given as well. The best constant factor is calculated by the way of Complex Analysis.
%K Hilbert-Type Integral Inequality
%K Weight Function
%K HolderĄ¯s Inequality
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=5197