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2019 Canonical kernels versus constructible kernels
Steven G. Krantz
Rocky Mountain J. Math. 49(6): 1931-1959 (2019). DOI: 10.1216/RMJ-2019-49-6-1931

Abstract

We study both canonical reproducing kernels and constructive reproducing kernels for holomorphic functions in $\mathbb C^1$ and $\mathbb C^n$. We compare and contrast the two, and also develop important relations between the two types of kernels. We prove a new result about the relationship between these two kernels on certain domains of finite type.

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Steven G. Krantz. "Canonical kernels versus constructible kernels." Rocky Mountain J. Math. 49 (6) 1931 - 1959, 2019. https://doi.org/10.1216/RMJ-2019-49-6-1931

Information

Published: 2019
First available in Project Euclid: 3 November 2019

zbMATH: 07136587
MathSciNet: MR4027242
Digital Object Identifier: 10.1216/RMJ-2019-49-6-1931

Subjects:
Primary: 30C40
Secondary: 32A25, 32A26, 46E22, 47B32

Rights: Copyright © 2019 Rocky Mountain Mathematics Consortium

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Vol.49 • No. 6 • 2019
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