Quantitative Bloch's theorem for certain classes of holomorphic mappings of the ball into Pn (C).
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Kyong T. Hahn (1976)
Journal für die reine und angewandte Mathematik
Klas Diederich, Gregor Herbort (2000)
Annales de l'institut Fourier
Let be a bounded pseudoconvex domain that admits a Hölder continuous plurisubharmonic exhaustion function. Let its pluricomplex Green function be denoted by . In this article we give for a compact subset a quantitative upper bound for the supremum in terms of the boundary distance of and . This enables us to prove that, on a smooth bounded regular domain (in the sense of Diederich-Fornaess), the Bergman differential metric tends to infinity, for , when tends to a boundary point....
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