Abstract and Applied Analysis
Volume 2007 (2007), Article ID 62852, 17 pages
Research Article

On Weighted Hadamard-Type Singular Integrals and Their Applications

Yong Jia Xu

Department of Statistics, Guangdong University of Business Studies, Guangzhou 510320, China

Received 18 September 2006; Accepted 16 January 2007

Academic Editor: Allan C. Peterson

Copyright © 2007 Yong Jia Xu. 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 means of an expression with a kind of integral operators, some properties of the weighted Hadamard-type singular integrals are revealed. As applications, the solution for certain strongly singular integral equations is discussed and illustrated.