English

Boundary behavior of the Szeg\"o kernel

Complex Variables 2022-03-14 v1

Abstract

We give a H\"ormander-type localization principle for the Szeg\"o kernel SΩ(z)S_\Omega(z). We also show that for each boundary point z0z_0, SΩ(z)zz013S_\Omega(z)\gtrsim|z-z_0|^{-\frac{1}{3}} holds non-tangentially for any bounded pseudoconvex domain with smooth boundary in C2{\mathbb C}^2.

Keywords

Cite

@article{arxiv.2106.03117,
  title  = {Boundary behavior of the Szeg\"o kernel},
  author = {Jujie Wu and Xu Xing},
  journal= {arXiv preprint arXiv:2106.03117},
  year   = {2022}
}
R2 v1 2026-06-24T02:52:55.994Z