143 citations · 171 across the 13 of their papers we have counts for
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Rigidity theorems by the logarithmic capacity
Robert Xin Dong, Yuan Zhang
In light of the Suita conjecture, we explore various rigidity phenomena concerning the Bergman kernel, logarithmic capacity, Green's function, and Euclidean distance and volume.
Uniform estimates for the canonical solution to the -equation on product domains
Robert Xin Dong, Yifei Pan, Yuan Zhang
We obtain uniform estimates for the canonical solution to on the Cartesian product of bounded planar domains with boundaries, when is continuous up to…
Boundary asymptotics of the relative Bergman kernel metric for curves
Robert Xin Dong
We study the behaviors of the relative Bergman kernel metrics on holomorphic families of degenerating hyperelliptic Riemann surfaces and their Jacobian varieties. Near a node or cu…
Rigidity theorem by the minimal point of the Bergman kernel
Robert Xin Dong, John Treuer
We use the Suita conjecture (now a theorem) to prove that for any domain its Bergman kernel satisfies …