S. Li

activity

20102022

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math.CV2022

Solving the Kerzman's problem on the sup-norm estimate for $\dbar$ on product domains

Song-Ying Li

In this paper, the author solves the long term open problem of Kerzman on sup-norm estimate for Cauchy-Riemann equation on polydisc in $n$ -dimensional complex space. The problem ha…

math.CV2018

The Webster scalar curvature and sharp upper and lower bounds for the first positive eigenvalue of the Kohn-Laplacian on real hypersurfaces

Song-Ying Li, Duong Ngoc Son

Let $(M, θ)$ be a compact strictly pseudoconvex pseudohermitian manifold which is CR embedded into a complex space. In an earlier paper, Lin and the authors gave several sharp upper…

math.CV2017

Graham Theorem on Bounded Symmetric Domains

Ren-Yu Chen, Song-Ying Li

Graham Theorem on the unit ball $B_{n}$ in $C^{n}$ states that every invariant harmonic function $u \in C^{n} (B_{n})$ must be pluriharmonic in $B_{n}$ . This rigi…