24 citations · 37 across the 22 of their papers we have counts for
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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.CV2009
Normed domains of holomorphy
Steven G. Krantz
We treat the classical concept of domain of holomorphy in $\CC^n$ when the holomorphic functions considered are restricted to lie in some Banach space. Positive and negative result…
math.CA2009
Convexity in real analysis
Steven G. Krantz
We treat the classical notion of convexity in the context of hard real analysis. Definitions of the concept are given in terms of defining functions and quadratic forms, and charac…