Variation of Loewner Chains,Extreme and Support Points in the Class $$S^0$$ in Higher Dimensions期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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

Authors:	Filippo Bracci Ian Graham Hidetaka Hamada Gabriela Kohr

Affiliation:	1.Dipartimento di Matematica,Università di Roma “Tor Vergata”,Rome,Italy;2.Department of Mathematics,University of Toronto,Toronto,Canada;3.Faculty of Engineering,Kyushu Sangyo University,Fukuoka,Japan;4.Faculty of Mathematics and Computer Science,Babe?-Bolyai University,Cluj-Napoca,Romania

Abstract:	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)-reachable mappings in the class (S^0) of mappings admitting parametric representation.

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