Abstract
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.
| Original language | English (US) |
|---|---|
| Article number | 10499 |
| Pages (from-to) | 153-158 |
| Number of pages | 6 |
| Journal | Nonlinear Analysis, Theory, Methods and Applications |
| Volume | 126 |
| DOIs | |
| State | Published - Oct 26 2015 |
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All Science Journal Classification (ASJC) codes
- Analysis
- Applied Mathematics
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A remark on the kernel of the CR Paneitz operator. / Case, Jeffrey Steven; Chanillo, Sagun; Yang, Paul.
In: Nonlinear Analysis, Theory, Methods and Applications, Vol. 126, 10499, 26.10.2015, p. 153-158.Research output: Contribution to journal › Article
TY - JOUR
T1 - A remark on the kernel of the CR Paneitz operator
AU - Case, Jeffrey Steven
AU - Chanillo, Sagun
AU - Yang, Paul
PY - 2015/10/26
Y1 - 2015/10/26
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84940446772&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84940446772&partnerID=8YFLogxK
U2 - 10.1016/j.na.2015.04.001
DO - 10.1016/j.na.2015.04.001
M3 - Article
VL - 126
SP - 153
EP - 158
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
SN - 0362-546X
M1 - 10499
ER -