Department of Mathematics, Guangdong Institute of Education, Guangzhou, Guangdong 510303, China
Copyright © 2010 Qiliang Huang and Bicheng Yang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
By using the way of weight functions and the technic of real analysis, a multiple Hilbert-type integral operator with the homogeneous
kernel of -degree () and its norm are considered. As for applications, two equivalent inequalities with the best constant factors, the
reverses, and some particular norms are obtained.