## Boundary Behavior of Holomorphic Functions on Domains of Finite Type |

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### Contents

Domains of finite type in Cn | 10 |

Plessners theorem on curves | 23 |

Plessner type theorem for HD | 34 |

1 other sections not shown

### Common terms and phrases

Aa(C Aa(p absolutely continuous admissible approach region admissible limits apply Theorem 1.9 associated measure assume BEHAVIOR OF HOLOMORPHIC BMp(p boundary behavior cfc(r closest point cnYn complete proof coordinate system Corollary 4.8 curve on dD decoupled domains define balls defined in chapter defining function Definition depend desired polydisc Doctor of Philosophy domains of finite estimates of hP Euclidean nontangential approach exponential map expp{af F e HP(D finite type following corollary function space G dD Hg(D holomorphic functions HYUNGWOON KOO Lemma let z G limF(z limits i/-almost everywhere Lipschitz estimate maximum type neighborhood of dD nonisotropic balls nontangential approach region notations Note np(z NSW2 pP(z Princeton prove pseudoconvex domains Pure terms set of F small neighborhood smooth function submanifold sup F(z tangent space tt(z type of dD uniform constant uniform quantitative estimates unit ball UNIVERSITY OF WISCONSIN-MADISON vector fields VTF(z weight function weighted maximal function yi,z