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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. (C) 2015 Elsevier Ltd. All rights reserved.|
|Electronic Publication Date:||27-Apr-2015|
|Citation:||Case, Jeffrey S, Chanillo, Sagun, Yang, Paul. (2015). A remark on the kernel of the CR Paneitz operator. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 126 (153 - 158). doi:10.1016/j.na.2015.04.001|
|Pages:||153 - 158|
|Type of Material:||Journal Article|
|Journal/Proceeding Title:||NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS|
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