模型域上的Kohn–Laplacian和Cauchy–Szegö投影

IF 0.4 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Annals of Mathematical Sciences and Applications Pub Date : 2022-11-27 DOI:10.4310/amsa.2023.v8.n1.a4

D. Chang, Ji Li, Jingzhi Tie, Qingyan Wu

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引用次数: 2

摘要

我们研究了$\mathbb C^{n+1}$中某些模型域上的Kohn-Laplacian及其基本解，并用实分析方法进一步讨论了这些模型域上Cauchy-Szeg\ ' o投影的显式核。我们进一步证明了这些Cauchy-Szeg\ o核在合适的准度量下是Calder\ on-Zygmund核。

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The Kohn–Laplacian and Cauchy–Szegö projection on model domains

We study the Kohn-Laplacian and its fundamental solution on some model domains in $\mathbb C^{n+1}$, and further discuss the explicit kernel of the Cauchy-Szeg\"o projections on these model domains using the real analysis method. We further show that these Cauchy-Szeg\"o kernels are Calder\'on-Zygmund kernels under the suitable quasi-metric.

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Annals of Mathematical Sciences and Applications MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

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