Compatibility operators for degenerated elliptic equations on the ball and Heisenberg group

DOI10.1007/BF01161947zbMath0538.47031MaRDI QIDQ793319

Robin C. Graham

Publication date: 1984

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173491

zbMATH Keywords

Heisenberg groupdegenerate elliptic equationsCayley transformcompatibility operatorselliptic operators generalizing the Laplace-Beltrami operator in the Bergman metric on the Siegel domaintransformation law

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Boundary value problems on manifolds (58J32)

Related Items (13)

CR geometry in 3-D ⋮ On the Dirichlet problem for the harmonic vector fields equation ⋮ Sharp Hardy-Sobolev-Maz'ya, Adams and Hardy-Adams inequalities on the Siegel domains and complex hyperbolic spaces ⋮ On the solvability of homogeneous left-invariant differential operators on the Heisenberg group ⋮ Feeling the heat in a group of Heisenberg type ⋮ Moser-Trudinger and Beckner-Onofri's inequalities on the CR sphere ⋮ Ambient constructions for Sasakian \(\eta\)-Einstein manifolds ⋮ Smooth solutions of degenerate Laplacians on strictly pseudoconvex domains ⋮ Scattering and inverse scattering on ACH manifolds ⋮ Extremal metrics for the \(Q^\prime\)-curvature in three dimensions ⋮ An extension problem for the CR fractional Laplacian ⋮ The Frank–Lieb approach to sharp Sobolev inequalities ⋮ GJMS operators, \(Q\)-curvature, and obstruction tensor of partially integrable CR manifolds

Cites Work

• Unnamed Item
• Some results in \(H^ p\) theory for the Heisenberg group
• The Laplacian and the Kohn Laplacian for the sphere
• The dirichlet problem for the bergman laplacian. I
• Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
• Necessary and sufficient conditions for solvability of the Lewy equation

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