Journal of the
Korean Mathematical Society JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008
qr-code QR
Code

Article

HOME ALL ARTICLES View

J. Korean Math. Soc. 2000; 37(2): 139-175

Printed March 1, 2000

Copyright © The Korean Mathematical Society.

Fatou theorems old and new: an overview of the boundary behavior of holomorphic functions

Steven G. Krantz

Washington University

Abstract

Go to

We consider the boundary behavior of a Hardy class holomorphic function, either on the disc $D$ in the complex plane or on a domain in multi-dimensional complex space. Although the two theories are formally different, we postulate some unifying features, and we suggest some future directions for research.

Keywords: Fatou theorem, Hardy space, boundary limits

MSC numbers: 32A10, 32A35, 32A19, 32A40

Article Tools

Stats or Metrics

Share this article on :

Related articles in JKMS

more +