An extension problem for the CR fractional Laplacian

DOI10.1016/j.aim.2014.09.026zbMath1304.35747arXiv1312.3381OpenAlexW2041386511MaRDI QIDQ481676

Jinggang Tan, Rupert L. Frank, María del Mar González, Dario Daniele Monticelli

Publication date: 12 December 2014

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.3381

zbMATH Keywords

Heisenberg groupscattering operatorCR manifoldssub-Laplacianfractional Laplacianextension prioblemfractional order weighted Sobolev spaces

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Scattering theory for PDEs (35P25) Scattering theory of linear operators (47A40) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Fractional partial differential equations (35R11)

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