activity
19952023
most citedA new characterization of the CR shpere and the sharp eigenvalue estimate for the Kohn Laplacian

20 citations · 54 across the 16 of their papers we have counts for

collaborators

16 papers

math.CV2023★ 1 cited

Solving the Kerzman's problem on the sup-norm estimate for 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 -dimensional complex space. The problem ha…

math.CV2023

Bergman metrics as pull-backs of the Fubini-Study metric

Xiaojun Huang, Song-Ying Li

Domains and more generally complex manifolds whose Bergman metrics have constant holomorphic sectional curvature are characterized. Our approach is to treat the Bergman metrics as…

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 -dimensional complex space. The problem ha…

math.CV2019★ 7 cited

Sharp pointwise and uniform estimates for

Robert Xin Dong, Song-Ying Li, John N. Treuer

We use weighted -methods to obtain sharp pointwise estimates for the canonical solution to the equation on smoothly bounded strictly convex domains and the…

math.CV2018★ 3 cited

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 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★ 7 cited

CR-Analogue of Siu--formula and Applications to Rigidity problem for pseudo-Hermitian harmonic maps

Song-Ying Li, Duong Ngoc Son

We give several versions of Siu's -formula for maps from a strictly pseudoconvex pseudo-Hermitian manifold into a Kähler manifold …