Extension and division in normal crossing varieties.

Abderrabi Maati; Emmanuel Mazzilli

Publicacions Matemàtiques (2001)

  • Volume: 45, Issue: 2, page 343-369
  • ISSN: 0214-1493

Abstract

top
Let D be a bounded strictly pseudoconvex domain with smooth boundary and f = (f1, ..., fp) (fi ∈ Hol(D)) a complete intersection with normal crossing. In this paper we study an extension problem in L∞-norm for holomorphic functions defined on f-1(0) ∩ D and a decomposition formula g = ∑i=1p figi for holomorphic functions g ∈ I(f1, ..., fp)(D) in Lipschitz spaces. We stress that for the two problems the classical theorem cannot be applied because f-1(0) has singularities on the boundary ∂D. This work is the first step to understand this type of problem in the general singular case.

How to cite

top

Maati, Abderrabi, and Mazzilli, Emmanuel. "Extension et division dans les variétés à croisements normaux.." Publicacions Matemàtiques 45.2 (2001): 343-369. <http://eudml.org/doc/41433>.

@article{Maati2001,
author = {Maati, Abderrabi, Mazzilli, Emmanuel},
journal = {Publicacions Matemàtiques},
keywords = {Funciones holomorfas; Espacio de Lipschitz; Dominios pseudoconvexos; extension problem; division problem},
language = {fre},
number = {2},
pages = {343-369},
title = {Extension et division dans les variétés à croisements normaux.},
url = {http://eudml.org/doc/41433},
volume = {45},
year = {2001},
}

TY - JOUR
AU - Maati, Abderrabi
AU - Mazzilli, Emmanuel
TI - Extension et division dans les variétés à croisements normaux.
JO - Publicacions Matemàtiques
PY - 2001
VL - 45
IS - 2
SP - 343
EP - 369
LA - fre
KW - Funciones holomorfas; Espacio de Lipschitz; Dominios pseudoconvexos; extension problem; division problem
UR - http://eudml.org/doc/41433
ER -

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.