The fundamental solution to \(\Box_b\) on quadric manifolds. II: \(L^p\) regularity and invariant normal forms

DOI10.1007/s40627-020-00050-zzbMath1464.32060OpenAlexW3024293668MaRDI QIDQ830762

Andrew S. Raich, Albert Boggess

Publication date: 7 May 2021

Published in: Complex Analysis and its Synergies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40627-020-00050-z

zbMATH Keywords

Heisenberg groupfundamental solutionSzegő projectionSzegő kernelcomplex Green operatortangential Cauchy-Riemann operatorquadric submanifolds\( \bar{\partial}_b\)

Mathematics Subject Classification ID

Analysis on other specific Lie groups (43A80) Analysis on CR manifolds (32V20) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) (overlinepartial_b) and (overlinepartial_b)-Neumann operators (32W10) Harmonic analysis and PDEs (42B37)

Related Items (6)

The fundamental solution to \Box_{𝑏} on quadric manifolds – Part 1. General formulas ⋮ The fundamental solution to \Box_{𝑏} on quadric manifolds with nonzero eigenvalues ⋮ The fundamental solution to \(\Box_b\) on quadric manifolds with nonzero eigenvalues and null variables ⋮ The fundamental solution to \(\Box_b\) on quadric manifolds. III: Asymptotics for a codimension 2 case in \({\mathbb{C}}^4\) ⋮ Bernstein spaces on Siegel CR manifolds ⋮ Analysis on quadrics

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