On the Poisson kernel for the Kohn Laplacian

In this note we obtain some estimates of the Green function and the Poisson kernel for the Kohn Laplacian ∆_{IH^n} on bounded domains of the Heisenberg group IH^n. As a consequence we are able to give Lp estimates for ∆_{IH^n} -harmonic functions in terms of the L^p norms of their boundary values....

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Bibliographic Details
Main Authors: F. Uguzzoni, E. Lanconelli
Format: Article
Language:English
Published: Sapienza Università Editrice 1997-01-01
Series:Rendiconti di Matematica e delle Sue Applicazioni
Subjects:
Online Access:https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1997(4)/659-677.pdf