Xu Xing

most citedBoundary behavior of the Szegö kernel

1 citations · 1 across the 2 of their papers we have counts for

collaborators

2 papers

math.CV2022

$H^{2} -$ Corona problem on $δ -$ regular domains

Bo-Yong Chen, Xu Xing

We prove an $H^{2} -$ Corona theorem with estimate $C (δ) = C δ^{- 1 - q} ∣ lo g δ ∣$ for $δ ≪ 1$ on delta-regular domains, where $q = min {n, m - 1}$ and $m$ is the number of generators. This cla…

math.CV2021★ 1 cited

Boundary behavior of the Szegö kernel

Jujie Wu, Xu Xing

We give a Hörmander-type localization principle for the Szegö kernel $S_{Ω} (z)$ . We also show that for each boundary point $z_{0}$ , $S_{Ω} (z) ≳ ∣ z - z_{0} ∣^{- \frac{1}{3}}$ holds non-tang…

H2−Corona problem on δ−regular domains

Boundary behavior of the Szegö kernel

$H^{2} -$ Corona problem on $δ -$ regular domains