A remark on the kernel of the CR Paneitz operator

Jeffrey S. Case; Sagun Chanillo; Paul Yang

doi:10.1016/j.na.2015.04.001

A remark on the kernel of the CR Paneitz operator

Jeffrey S. Case, Sagun Chanillo, Paul Yang

Mathematics

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

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	https://doi.org/10.1016/j.na.2015.04.001
State	Published - Oct 26 2015

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

Keywords

CR Paneitz operator
CR pluriharmonic functions
Stability

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10.1016/j.na.2015.04.001

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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.",

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AU - Chanillo, Sagun

AU - Yang, Paul

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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.

KW - CR Paneitz operator

KW - CR pluriharmonic functions

KW - Stability

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JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

M1 - 10499

ER -

A remark on the kernel of the CR Paneitz operator

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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