中文摘要：

主要研究沿旋转曲面和沿多项式曲线的奇异积分算子在积分核满足相对较弱的尺寸条件下,对某些p（2/（2-β）〈p〈2/β）,建立了这些算子在乘积域上的L^p有界性.

英文摘要：

This paper is devoted to the study of a class of singular integral operators defined by surfaces of revolution and polynomial mappings on product domains. Some rather weak size conditions, which imply the Lp boundedness of these singular integral operator for some fixed p（2/（2-β）〈p〈2/β）.