The Kohn-Laplacian and Cauchy-Szeg\'{o} projection on Model Domains

Autor:	Chang, Der-Chen, Li, Ji, Tie, Jingzhi, Wu, Qingyan
Rok vydání:	2022
Předmět:	Mathematics - Complex Variables
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2211.14798 Zobrazit plný text záznamu View this record from Arxiv