Variation of Loewner Chains, Extreme and Support Points in the Class $$S^0$$S0 in Higher Dimensions

By Filippo Bracci, Ian D. Graham, H. Hamada, G. Kohr. 2014

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We introduce a family of natural normalized Loewner chains in the unit ball, which we call “geräumig”—spacious—which allow us to construct, by means of suitable variations, other normalized Loewner chains which coincide with the given ones from a certain time on. We apply our construction to the study of support points, extreme points, and time-$$\log M$$logM-reachable mappings in the class $$S^0$$S0 of mappings admitting parametric representation.

Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/112419df0d3899e69f3d52f027ced4f2a1ff6dff