9 citations · 36 across the 23 of their papers we have counts for
19 papers · 1 filter
Pseudoconvex domains in complex Euclidean space with one-dimensional Bergman spaces
Yuan Yuan
For any , we construct a pseudoconvex domain in $\C^n$ such that the Bergman space is one-dimensional. This disproves Wiegerinck conjecture.
On Mok's uniqueness problem of holomorphic isometries from complex unit balls of maximal dimension into classical domains
Cong Ding, Yuan Yuan
We prove that every holomorphic isometric embedding, with respect to the Bergman metrics, from a complex unit ball of maximal dimension into irreducible classical bounded symmetric…
Yau's conjecture on smooth Reinhardt domains
Yuan Yuan
We prove that a possibly unbounded Reinhardt domain in with smooth boundary and a complete Bergman-Einstein metric is biholomorphic to the complex unit ball. In part…
Holomorphic Bergman isometries between bounded domains and the extension of Lu's theorem
Yuan Yuan
We study holomorphic maps between complex manifolds that preserve the Bergman metric up to a positive constant. In the equal dimensional case, either the source is a Stein manifold…
On local holomorphic maps between Kähler manifolds preserving -forms
Shan Tai Chan, Yuan Yuan
We study local holomorphic maps between Kähler manifolds preserving -forms. In this direction, we prove that any such local holomorphic map is a holomorphic isometry up…
Uniform estimates of the Cauchy-Riemann equation on product domains
Yuan Yuan
We observe that the continuity assumption on for the uniform estimates of the canonical solution to on products of bounded planar domains in \cite{DP…