Solving the Loewner PDE in complete hyperbolic starlike domains of\n C^N

2012/07/11 by Leandro Arosio, Filippo Bracci, Arosio, Leandro +3 · 1 citation
Mathematics · #Analytic and geometric function theory #Holomorphic and Operator Theory #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.1207.2721

Abstract

We prove that any Loewner PDE in a complete hyperbolic starlike domain of\n C^N (in particular in bounded convex domains) admits an essentially unique\nunivalent solution with values in C^N.\n

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