An application of John ellipsoids to the Szegő kernel on unbounded convex domains

DOI10.1080/17476933.2016.1221947zbMath1372.32007arXiv1604.01432OpenAlexW2337734454MaRDI QIDQ2979510

Soledad Benguria

Publication date: 25 April 2017

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.01432

zbMATH Keywords

John ellipsoidSzegő kernelunbounded convex domains

Mathematics Subject Classification ID

Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Cites Work

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• The Bergman and Szegő kernels near points of infinite type
• Estimates for the parametrix of the Kohn Laplacian on certain domains
• Szegö kernels on pseudoconvex domains with one degenerate eigenvalue
• Convex hypersurfaces and Fourier transforms
• Estimates for the Bergman and Szegö kernels in \({\mathbb{C}}^ 2\)
• Holomorphic functions of bounded mean oscillation and mapping properties of the Szegö projection
• Estimates for the Bergman and Szegö projections on strongly pseudo-convex domains
• Estimates on the Bergman kernels of convex domains
• The Szegö projection on convex domains
• Szegö and Bergman projections on non-smooth planar domains
• Hölder estimates on CR manifolds with a diagonalizable Levi form
• The Bergman kernel and biholomorphic mappings of pseudoconvex domains
• Singularities of the Szegö kernel for certain weakly pseudoconvex domains in \(\mathbb{C}^ 2\)
• A direct connection between the Bergman and Szegő projections
• Cauchy-type integrals in several complex variables
• The Szegö kernel on a class of non-compact CR manifolds of high codimension
• Estimates for the Bergman and Szegö kernels in certain weakly pseudoconvex domains
• The Szegö kernel for nonpseudoconvex tube domains in ℂ²

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