A tale of three kernels

DOI10.1080/17476930802429164zbMath1157.32005arXiv0808.1609OpenAlexW2003865348MaRDI QIDQ3548423

Steven G. Krantz

Publication date: 12 December 2008

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

Full work available at URL: https://arxiv.org/abs/0808.1609

zbMATH Keywords

Bergman kernelreproducing kernelsintegral representationsSzegő kernelPoisson-Szegő kernelholomorphic functions in one and several complex variables

Mathematics Subject Classification ID

Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Kernel functions in one complex variable and applications (30C40)

Related Items

Transformation formula for the reduced Bergman kernel and its application ⋮ Universal objects in categories of reproducing kernels ⋮ On a construction of L. Hua for positive reproducing kernels

Cites Work

• Unnamed Item
• Smoothness to the boundary of conformal maps
• Hilbert integrals, singular integrals, and Radon transforms. I
• Estimates for the Bergman and Szegö kernels in \({\mathbb{C}}^ 2\)
• Calculation and estimation of the Poisson kernel
• The Poisson integral for generalized half-planes and bounded symmetric domains
• Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)

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