3 citations · 5 across the 7 of their papers we have counts for
5 papers · 1 filter
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…
Asymptotic behavior of the Kobayashi metric on convex domains
Lina Lee
In this paper, we calculate estimates for invariant metrics on a finite type convex domain in using the Sibony metric. We also discuss a possible modification of the…