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math.CV2020★ 1 cited
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.
math.CV2020
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…