John N. Treuer

activity

20192026

most citedRigidity theorem by the minimal point of the Bergman kernel

8 citations · 19 across the 11 of their papers we have counts for

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Showing 2021Show all

2 papers · 1 filter

math.CV2021★ 3 cited

Rigidity theorems by capacities and kernels

Robert Xin Dong, John N. Treuer, Yuan Zhang

For any open hyperbolic Riemann surface $X$ , the Bergman kernel $K$ , the logarithmic capacity $c_{β}$ , and the analytic capacity $c_{B}$ satisfy the inequality chain $πK \geq c^2_β \…

math.CV2021

Rigidity theorem of the Bergman kernel by analytic capacity

John Treuer

In [7], Dong and I proved that the domains $D \subset C$ of finite volume whose on-diagonal Bergman kernels $K (\cdot, \cdot)$ satisfy $K (z_{0}, z_{0}) = V o l u m e (D)^{- 1}$ are di…