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arXiv · 2106.03117

Boundary behavior of the Szeg\"o kernel

Jujie Wu·Xu Xing
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Abstract

We give a H\"ormander-type localization principle for the Szeg\"o kernel $S_\Omega(z)$. We also show that for each boundary point $z_0$, $S_\Omega(z)\gtrsim|z-z_0|^{-\frac{1}{3}}$ holds non-tangentially for any bounded pseudoconvex domain with smooth boundary in ${\mathbb C}^2$.

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Jujie Wu, Xu Xing. 2021-06-06. Boundary behavior of the Szeg\"o kernel. https://doi.org/10.1112/blms.12623

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