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An extension problem for the CR fractional Laplacian

Author
Frank, Rupert L.; Gonzalez, M.; Monticelli, Dario D.; Tan, Jinggang
Type of activity
Journal article
Journal
Advances in mathematics
Date of publication
2015-01-01
Volume
270
Number
--
First page
97
Last page
137
DOI
https://doi.org/10.1016/j.aim.2014.09.026 Open in new window
Project funding
Ecuaciones en derivadas parciales: problemas de reacción-difusión y problemas geométricos
Repository
http://hdl.handle.net/2117/24794 Open in new window
URL
http://www.pagines.ma1.upc.edu/~mgonzalez/Papers/Frank_Gonzalez_Monticelli_Tan.pdf Open in new window
Abstract
We show that the conformally invariant fractional powers of the sub-Laplacian on the Heisenberg group are given in terms of the scattering operator for an extension problem to the Siegel upper halfspace. Remarkably, this extension problem is di erent from the one studied, among others, by Ca arelli and Silvestre. We show that the conformally invariant fractional powers of the sub-Laplacian on the Heisenberg group are given in terms of the scattering operator for an extension problem to the Siege...
Citation
Frank, Rupert L. [et al.]. An extension problem for the CR fractional Laplacian. "Advances in mathematics", 01 Gener 2015, vol. 270, núm. --, p. 97-137.
Group of research
EDP - Partial Differential Equations and Applications

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