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Sums of CR functions
from competing CR structures
David E. Barrett and Dusty E. Grundmeier |
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Vol. 293 (2018), No. 2, 257–275
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DOI: 10.2140/pjm.2018.293.257
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Abstract |
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We characterize sums of CR functions from competing CR structures in two scenarios. In one scenario the structures are conjugate and we are adding to the theory of pluriharmonic boundary values. In the second scenario the structures are related by projective duality considerations. In both cases we provide explicit vector field-based characterizations for two-dimensional circular domains satisfying natural convexity conditions. |
Keywords
Pluriharmonic extension, circular hypersurfaces, projective
duality
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Mathematical Subject Classification 2010
Primary: 32V10
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Milestones
Received: 9 May 2017
Revised: 8 September 2017
Accepted: 20 September 2017
Published: 23 November 2017
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Authors |
| David E. Barrett | |
| Dept. of Mathematics University of Michigan Ann Arbor Ann Arbor, MI 48109-1043 United States |
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| Dusty E. Grundmeier | |
| Dept. of Mathematics Harvard University 1 Oxford St Cambridge, MA 02138 United States |
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