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.
|Number of pages
|Nonlinear Analysis, Theory, Methods and Applications
|Published - Oct 26 2015
All Science Journal Classification (ASJC) codes
- Applied Mathematics