The pluricomplex Green function on some regular pseudoconvex domains

Gregor Herbort

Annales Polonici Mathematici (2014)

  • Volume: 110, Issue: 3, page 209-226
  • ISSN: 0066-2216

Abstract

top
Let D be a smooth bounded pseudoconvex domain in ℂⁿ of finite type. We prove an estimate on the pluricomplex Green function D ( z , w ) of D that gives quantitative information on how fast the Green function vanishes if the pole w approaches the boundary. Also the Hölder continuity of the Green function is discussed.

How to cite

top

Gregor Herbort. "The pluricomplex Green function on some regular pseudoconvex domains." Annales Polonici Mathematici 110.3 (2014): 209-226. <http://eudml.org/doc/280887>.

@article{GregorHerbort2014,
abstract = {Let D be a smooth bounded pseudoconvex domain in ℂⁿ of finite type. We prove an estimate on the pluricomplex Green function $_D(z,w)$ of D that gives quantitative information on how fast the Green function vanishes if the pole w approaches the boundary. Also the Hölder continuity of the Green function is discussed.},
author = {Gregor Herbort},
journal = {Annales Polonici Mathematici},
keywords = {pluricomplex Green function; finite type; Bergman metric},
language = {eng},
number = {3},
pages = {209-226},
title = {The pluricomplex Green function on some regular pseudoconvex domains},
url = {http://eudml.org/doc/280887},
volume = {110},
year = {2014},
}

TY - JOUR
AU - Gregor Herbort
TI - The pluricomplex Green function on some regular pseudoconvex domains
JO - Annales Polonici Mathematici
PY - 2014
VL - 110
IS - 3
SP - 209
EP - 226
AB - Let D be a smooth bounded pseudoconvex domain in ℂⁿ of finite type. We prove an estimate on the pluricomplex Green function $_D(z,w)$ of D that gives quantitative information on how fast the Green function vanishes if the pole w approaches the boundary. Also the Hölder continuity of the Green function is discussed.
LA - eng
KW - pluricomplex Green function; finite type; Bergman metric
UR - http://eudml.org/doc/280887
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.