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- Imperial College LondonGB4 papers
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- Fermi National Accelerator LaboratoryUS3 papers
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6 papers · 1 filter
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…
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.
Carleson Measures for the Drury-Arveson Hardy space and other Besov-Sobolev spaces on Complex Balls
N. Arcozzi, R. Rochberg, E. Sawyer
We characterize the Carleson measures for the Drury-Arveson Hardy space and other Hilbert spaces of analytic functions of several complex variables. This provides sharp estimates f…
Complex Analysis as Catalyst
Steven G. Krantz
We illustrate the general principle that complex analysis can be a good setting for posing problems that are best solved using techniques from other mathematical disciplines. Sever…
Moment inequalities for equilibrium measures in the plane
A. Baernstein, R. S. Laugesen, I. E. Pritsker
The equilibrium measure of a compact plane set gives the steady state distribution of charges on the conductor. We show that certain moments of this equilibrium measure, when taken…