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The Bergman and Szegő kernels near points of infinite type

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Publication:968606
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DOI10.2140/pjm.2010.246.75zbMath1191.32002OpenAlexW1987812400MaRDI QIDQ968606

Jennifer Halfpap, Stephen Wainger, Alexander Nagel

Publication date: 5 May 2010

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://pjm.math.berkeley.edu/pjm/2010/246-1/p04.xhtml


zbMATH Keywords

Szegő kernelBerman kernel


Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Pseudoconvex domains (32T99)


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Schrödinger operators with \(A_\infty\) potentials ⋮ The Szegő kernel for certain non-pseudoconvex domains in \(\mathbb C^{2}\) ⋮ Global \(L^q\)-Gevrey functions and their applications ⋮ An application of John ellipsoids to the Szegő kernel on unbounded convex domains ⋮ Heat kernels, smoothness estimates, and exponential decay ⋮ The Szegö kernel for nonpseudoconvex tube domains in ℂ2 ⋮ Complex geodesics, their boundary regularity, and a Hardy-Littlewood-type lemma



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