Canadian Mathematical Society www.cms.math.ca
Abstract view

# Fixed Points of Commuting Holomorphic Maps Without Boundary Regularity

Published:2000-09-01
Printed: Sep 2000
• Filippo Bracci
Features coming soon:
Citations   (via CrossRef) Tools: Search Google Scholar:
 Format: HTML LaTeX MathJax PDF PostScript

## Abstract

We identify a class of domains of $\C^n$ in which any two commuting holomorphic self-maps have a common fixed point.
 Keywords: Holomorphic self-maps, commuting functions, fixed points, Wolff point, Julia's Lemma
 MSC Classifications: 32A10 - Holomorphic functions 32A40 - Boundary behavior of holomorphic functions 32H15 - unknown classification 32H1532A30 - Other generalizations of function theory of one complex variable (should also be assigned at least one classification number from Section 30) {For functions of several hypercomplex variables, see 30G35}

© Canadian Mathematical Society, 2013 : http://www.cms.math.ca/