Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4665568 | Advances in Mathematics | 2015 | 41 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Rupert L. Frank, María del Mar González, Dario D. Monticelli, Jinggang Tan,