6 citations · 8 across the 3 of their papers we have counts for
3 papers
math.CV2009★ 1 cited
The Kobayashi metric, extremal discs, and biholomorphic mappings
Steven G. Krantz
We study extremal discs for the Kobayashi metric. Inspired by work of Lempert on strongly convex domains, we present results on strongly pseudoconvex domains. We also consider a us…
math.CV2006★ 6 cited
The Caratheodory and Kobayashi metrics and applications in complex analysis
Steven G. Krantz
The Caratheodory and Kobayashi metrics have proved to be important tools in the function theory of several complex variables. But they are less familiar in the context of one compl…
math.CV2006★ 1 cited
The boundary behavior of holomorphic functions: Global and local results
Steven G. Krantz
We develop a new technique for studying the boundary limiting behavior of a holomorphic function on a domain -- both in one and several complex variables. The approach involves…