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Abstract and Applied Analysis 
Volume 2007 (2007), Article ID 62852, 17 pages
doi:10.1155/2007/62852

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

Recommended by Allan C. Peterson

Abstract

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.