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An extension problem for the CR fractional Laplacian

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10.1016/j.aim.2014.09.026
 
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hdl:2117/24794

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Frank, Rupert L.
González Nogueras, María del MarMés informació
Monticelli, Dario D.
Tan, Jinggang
Document typeArticle
Defense date2015-01-01
Rights accessOpen Access
Attribution-NonCommercial-NoDerivs 3.0 Spain
Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain
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.
CitationFrank, Rupert L. [et al.]. An extension problem for the CR fractional Laplacian. "Advances in mathematics", 01 Gener 2015, vol. 270, núm. --, p. 97-137. 
URIhttp://hdl.handle.net/2117/24794
DOI10.1016/j.aim.2014.09.026
ISSN0001-8708
Publisher versionhttp://www.pagines.ma1.upc.edu/~mgonzalez/Papers/Frank_Gonzalez_Monticelli_Tan.pdf
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