%A TANG Guo-ming, LIU Hua* %T The kernel of Pompeiu operator on the unit ball %0 Journal Article %D 2011 %J JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) %R %P 1-4 %V 46 %N 2 %U {http://lxbwk.njournal.sdu.edu.cn/CN/abstract/article_1272.shtml} %8 2011-02-16 %X

The Pompeiu operator which is one right inverse of the operator on the complex unit ball is discussed. It is proved that the kernel of the Pompeiu operator is nontrivial.