Transfer of Estimates from Convex to Strongly Pseudoconvex Domains in ℂ N

Adib Fadlalla

Banach Center Publications (1996)

  • Volume: 37, Issue: 1, page 85-94
  • ISSN: 0137-6934

Abstract

top
In this article, estimates of the hyperbolic and Carathéodory distances in domains G ⊂ ⊂ ℂ n , n ≥ 1, are obtained. They are equally valid for the Kobayashi distance.

How to cite

top

Fadlalla, Adib. "Transfer of Estimates from Convex to Strongly Pseudoconvex Domains in $ℂ^N$." Banach Center Publications 37.1 (1996): 85-94. <http://eudml.org/doc/208620>.

@article{Fadlalla1996,
abstract = {In this article, estimates of the hyperbolic and Carathéodory distances in domains $G ⊂ ⊂ ℂ^n$, n ≥ 1, are obtained. They are equally valid for the Kobayashi distance.},
author = {Fadlalla, Adib},
journal = {Banach Center Publications},
keywords = {strongly pseudoconvex domains; convex domains; Carathéodory distance; hyperbolic distance; estimates; Kobayashi distance},
language = {eng},
number = {1},
pages = {85-94},
title = {Transfer of Estimates from Convex to Strongly Pseudoconvex Domains in $ℂ^N$},
url = {http://eudml.org/doc/208620},
volume = {37},
year = {1996},
}

TY - JOUR
AU - Fadlalla, Adib
TI - Transfer of Estimates from Convex to Strongly Pseudoconvex Domains in $ℂ^N$
JO - Banach Center Publications
PY - 1996
VL - 37
IS - 1
SP - 85
EP - 94
AB - In this article, estimates of the hyperbolic and Carathéodory distances in domains $G ⊂ ⊂ ℂ^n$, n ≥ 1, are obtained. They are equally valid for the Kobayashi distance.
LA - eng
KW - strongly pseudoconvex domains; convex domains; Carathéodory distance; hyperbolic distance; estimates; Kobayashi distance
UR - http://eudml.org/doc/208620
ER -

References

top
  1. [1] M. Abate, Iteration theory of holomorphic maps on taut manifolds, Italy: Mediterranean Press, 1989. 
  2. [2] C. Carathéodory, Über eine spezielle Metrik, die in der Theorie der analytischen Funktionen auftritt, Atti Pontif. Accad. Sci. Nuovi Lincei 80 (1927), 135-141. 
  3. [3] A. A. Fadlalla, On the group of automorphism of the Euclidean hypersphere, Mathematika 15 (1968), 193-198. Zbl0167.06701
  4. [4] A. A. Fadlalla, On the boundary behaviour of the Carathéodory and Kobayashi distances in strongly pseudoconvex domains in ℂ n , Proc. Int. Workshop in Wuppertal (1990), Aspects of Mathematics (1990), 111-114. Zbl0738.32016
  5. [5] A. A. Fadlalla, The Carathéodory distance in strongly pseudoconvex domains, Math. Ann. 298 (1994), 141-144. Zbl0788.32019
  6. [6] F. Forestneric, J. P. Rosay, Localization of the Kobayashi metric and the boundary continuity of proper holomorphic mappings, Math. Ann. 279 (1987), 239-252. Zbl0644.32013
  7. [7] E. Vesentini, Complex geodesic, Compositio Math. 44 (1981), 375-394. Zbl0488.30015
  8. [8] N. Vormoor, Topologische Fortsetzung biholomorpher Funktionen auf den Rand bei beschränkten streng-pseudokonvexen Gebieten in ℂ n , Math. Ann. 204 (1973), 239-261. 

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.