3 citations · 5 across the 7 of their papers we have counts for
7 papers
On the Szego metric
David Barrett, Lina Lee
We introduce a new biholomorphically invariant metric based on Fefferman's invariant Szego kernel and investigate the relation of the new metric to the Bergman and Carathéodory met…
Comparison of Invariant Metrics
Hyunsuk Kang, Lina Lee, Crystal Zeager
We estimate the boundary behavior of the Kobayashi metric on $\C\sm\set{0,1}$. We also compare the Bergman metric on the ring domain in $\C^{2}$ to the Bergman metric on the ball.
On supnorm estimates for on infinite type convex domains in
John Erik Fornaess, Lina Lee, Yuan Zhang
In this paper, we study the -equation on some convex domains of infinite type in . In detail, we prove that supnorm estimates hold for infinite exponenti…
Infinite type germs of smooth hypersurfaces in
John Erik Fornaess, Lina Lee, Yuan Zhang
In this paper, we discuss germs of smooth hypersurface in . We show that if a point on the boundary has infinite D'Angelo type, then there exists a formal complex curv…
Kobayashi, Carathéodory, and Sibony metric
John Erik Fornaess, Lina Lee
In this paper, we estimate the boundary behavior of the Sibony metric near a pseudoconcave boundary point. We show that the metric blows up at a different rate than the Kobayashi m…
Asymptotic behavior of the Kobayashi metric in the normal direction
John Erik Fornaess, Lina Lee
In this paper, we construct a pseudoconvex domain in where the Kobayashi metric does not blow up at a rate of one over distance to the boundary in the normal directio…