24 citations · 29 across the 15 of their papers we have counts for
6 papers · 1 filter
Automorphism groups of domains that depend on fewer than the maximal number of parameters
Jisoo Byun, Steven G. Krantz
We study domains in complex -space with automorphism group that does not depend on the full dimensions of the ambient space. A sufficient geometric condition is obtained to…
On a Construction of L. Hua for Positive Reproducing Kernels
Steven G. Krantz
We study a positive reproducing kernel for holomorphic functions on a domain in a complex space. The technique is based on an idea of L. Hua. Applications are provided. These ideas…
A New Invariant Metric and Applications
Steven G. Krantz
We construct a new invariant metric for a compact subgroup of the automorphism group of a domain in complex space. Applications are provided.
A Tale of Three Kernels
Steven G. Krantz
We consider the Bergman, Szegő, and Poisson Szegő kernels on a domain in $\CC$ or $\CC^n$. Various properties and relationships are established. The paper has both an expository co…
Through a Glass Darkly
Steven G. Krantz
We consider the question of how mathematicians view themselves and how non-mathematicians view us. What is our role in society? Is it effective? Is it rewarding? How could it be im…
A Kobayashi metric version of Bun Wong's theorem
Kang-Tae Kim, Steven G. Krantz
We prove that a strongly pseudoconvex domain with noncompact group of Kobayashi/Royden metric isometries must be biholomorphic to the unit ball.