Boundary Behavior of Holomorphic Functions on Domains of Finite Type |
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Contents
Domains of finite type in Cr | 10 |
Plessners theorem on curves | 23 |
Plessner type theorem for H?D | 34 |
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Ãa(P admissible approach region apply Theorem 1.9 argument associated measure assume atom balls better BMp(P boundary behavior bounded choice cluster set comparable complete constant construct contains coordinate system Corollary Corollary 4.8 decoupled domains define Definition depend desired domains of finite Euclidean exists expp{aĨ extension əzi Əzj finite type Given gives gradient estimates Hù(ƏD holds holomorphic functions HP(D Lemma lim F(z maximum type neighborhood nontangential approach region notations Note NSW2 polydisc pP(z Princeton Proof Proposition prove pseudometric relations satisfy set of F smooth space sufficiently sup F(z supported Suppose term Theorem 1.9 thesis transversal curve uniform University vector fields weight function write др