J4 ›› 2011, Vol. 46 ›› Issue (2): 1-4.

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The kernel of Pompeiu operator on the unit ball

TANG Guo-ming, LIU Hua*   

  1. Institute of Mathematics,Tianjin University of Technology and Education, Tianjin 300222, China
  • Received:2010-03-24 Online:2011-02-16 Published:2011-03-30

Abstract:

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.

Key words: Cauchy-Riemann system; Pompeiu operator; kernel space

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