Variation of Loewner Chains, Extreme and Support Points in the Class in Higher Dimensions

摘要

We introduce a family of natural normalized Loewner chains in the unit ball, which we call "geraumig"aEuro"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--reachable mappings in the class of mappings admitting parametric representation.