A remark on the kernel of the CR Paneitz operator

作者：Case Jeffrey S^*; Chanillo Sagun; Yang Paul

来源：Nonlinear Analysis-Theory Methods & Applications, 2015, 126: 153-158.

DOI：10.1016/j.na.2015.04.001

• CR pluriharmonic functions
• CR Paneitz operator
• Stability

For CR structures in dimension three, the CR pluriharmonic functions are characterized by the vanishing of a third order operator. This third order operator, after composition with the divergence operator, gives the fourth order analogue of the Paneitz operator. In this short note, we give criteria under which the kernel of the CR Paneitz operator contains a supplementary space to the CR pluriharmonic functions.

• 出版日期2015-10
• 单位rutgers