Vol. 31, No. 2, 1969

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 294: 1
Vol. 293: 1  2
Vol. 292: 1  2
Vol. 291: 1  2
Vol. 290: 1  2
Vol. 289: 1  2
Vol. 288: 1  2
Vol. 287: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Special Issues
Submission Guidelines
Submission Form
Contacts
Author Index
To Appear
 
ISSN: 0030-8730
On a boundary property of principal functions

Mineko Watanabe

Vol. 31 (1969), No. 2, 537–545
Abstract

A behavior of (P)L1-principal functions on some compactifications of a Riemann surface is studied. The main result in this paper is that a (P)L1-principal function is extended almost everywhere continuously to some compactifications and the extention is almost everywhere constant on each part of P. If the genus of the surface is finite and P is the canonical P,(P)L1-principal function can be extended continuously to the Kerékjártó-Stoilow compactification.

Mathematical Subject Classification
Primary: 30.45
Milestones
Received: 9 November 1967
Published: 1 November 1969
Authors
Mineko Watanabe