Hardy spaces and canonical kernels on quadric CR manifolds

DOI10.1007/s12220-024-01708-4zbMATH Open1544.3201MaRDI QIDQ6572118

Jennifer Halfpap, Albert Boggess, Andrew S. Raich

Publication date: 15 July 2024

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

zbMATH Keywords

Bergman projectionBergman kernelHardy spacesSzegő projectionSzegö kernelquadric submanifolds

Mathematics Subject Classification ID

(H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Bergman spaces of functions in several complex variables (32A36) Boundary behavior of holomorphic functions of several complex variables (32A40) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Extension of functions and other analytic objects from CR manifolds (32V25)

Cites Work

• Title not available (Why is that?)
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• CR extension for \(L^ p\) CR functions on a quadric submanifold of \(\mathbb C^ n\).
• The fundamental solution to \(\Box_b\) on quadric manifolds. II: \(L^p\) regularity and invariant normal forms
• The Bergman and Szegő kernels near points of infinite type
• Estimates for the Bergman and Szegö kernels in \({\mathbb{C}}^ 2\)
• The fundamental solution to \Box_{𝑏} on quadric manifolds – Part 1. General formulas
• Singular integrals with flag kernels and analysis on quadratic CR manifolds

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