Data di Pubblicazione:
2015
Citazione:
An extension problem for the CR fractional Laplacian / R.L. Frank, M.D.M. González, D.D. Monticelli, J. Tan. - In: ADVANCES IN MATHEMATICS. - ISSN 0001-8708. - 270:(2015 Jan 22), pp. 97-137. [10.1016/j.aim.2014.09.026]
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 different from the one studied, among others, by Caffarelli and Silvestre. We also prove an energy identity that yields a sharp trace Sobolev embedding.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
CR manifolds; Fractional order operators; Fractional order weighted Sobolev spaces; Heisenberg group; Sublaplacian
Elenco autori:
R.L. Frank, M.D.M. González, D.D. Monticelli, J. Tan
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