Existence domains for holomorphic Lp functions.

Nicholas J. Daras

Publicacions Matemàtiques (1994)

  • Volume: 38, Issue: 1, page 207-212
  • ISSN: 0214-1493

Abstract

top
If Ω is a domain of holomorphy in Cn, having a compact topological closure into another domain of holomorphy U ⊂ Cn such that (Ω,U) is a Runge pair, we construct a function F holomorphic in Ω which is singular at every boundary point of Ω and such that F is in Lp(Ω), for any p ∈ (0, +∞).

How to cite

top

Daras, Nicholas J.. "Existence domains for holomorphic Lp functions.." Publicacions Matemàtiques 38.1 (1994): 207-212. <http://eudml.org/doc/41194>.

@article{Daras1994,
abstract = {If Ω is a domain of holomorphy in Cn, having a compact topological closure into another domain of holomorphy U ⊂ Cn such that (Ω,U) is a Runge pair, we construct a function F holomorphic in Ω which is singular at every boundary point of Ω and such that F is in Lp(Ω), for any p ∈ (0, +∞).},
author = {Daras, Nicholas J.},
journal = {Publicacions Matemàtiques},
keywords = {Funciones holomorfas de varias variables; Funciones de variable compleja; domains of holomorphy; Runge pair},
language = {eng},
number = {1},
pages = {207-212},
title = {Existence domains for holomorphic Lp functions.},
url = {http://eudml.org/doc/41194},
volume = {38},
year = {1994},
}

TY - JOUR
AU - Daras, Nicholas J.
TI - Existence domains for holomorphic Lp functions.
JO - Publicacions Matemàtiques
PY - 1994
VL - 38
IS - 1
SP - 207
EP - 212
AB - If Ω is a domain of holomorphy in Cn, having a compact topological closure into another domain of holomorphy U ⊂ Cn such that (Ω,U) is a Runge pair, we construct a function F holomorphic in Ω which is singular at every boundary point of Ω and such that F is in Lp(Ω), for any p ∈ (0, +∞).
LA - eng
KW - Funciones holomorfas de varias variables; Funciones de variable compleja; domains of holomorphy; Runge pair
UR - http://eudml.org/doc/41194
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.