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A remark on the kernel of the CR Paneitz operator

Author(s): Case, Jeffrey S.; Chanillo, Sagun; Yang, Paul C.

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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.
Publication Date: Oct-2015
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/
DOI: doi:10.1016/
ISSN: 0362-546X
EISSN: 1873-5215
Pages: 153 - 158
Language: English
Type of Material: Journal Article
Version: Author's manuscript

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