Some applications of the trace condition for pluriharmonic functions in Cn.

Alessandro Perotti

Publicacions Matemàtiques (2000)

  • Volume: 44, Issue: 2, page 449-456
  • ISSN: 0214-1493

Abstract

top
In this paper we investigate some applications of the trace condition for pluriharmonic functions on a smooth, bounded domain in Cn. This condition, related to the normal component on ∂D of the ∂-operator, permits us to study the Neumann problem for pluriharmonic functions and the ∂-problem for (0,1)-forms on D with solutions having assigned real part on the boundary.

How to cite

top

Perotti, Alessandro. "Some applications of the trace condition for pluriharmonic functions in Cn.." Publicacions Matemàtiques 44.2 (2000): 449-456. <http://eudml.org/doc/41402>.

@article{Perotti2000,
abstract = {In this paper we investigate some applications of the trace condition for pluriharmonic functions on a smooth, bounded domain in Cn. This condition, related to the normal component on ∂D of the ∂-operator, permits us to study the Neumann problem for pluriharmonic functions and the ∂-problem for (0,1)-forms on D with solutions having assigned real part on the boundary.},
author = {Perotti, Alessandro},
journal = {Publicacions Matemàtiques},
keywords = {Variable compleja; Funciones de varias variables; Funciones pluriarmónicas; Neumann problem; pluriharmonic functions; -problem; orthogonality; spherical harmonics},
language = {eng},
number = {2},
pages = {449-456},
title = {Some applications of the trace condition for pluriharmonic functions in Cn.},
url = {http://eudml.org/doc/41402},
volume = {44},
year = {2000},
}

TY - JOUR
AU - Perotti, Alessandro
TI - Some applications of the trace condition for pluriharmonic functions in Cn.
JO - Publicacions Matemàtiques
PY - 2000
VL - 44
IS - 2
SP - 449
EP - 456
AB - In this paper we investigate some applications of the trace condition for pluriharmonic functions on a smooth, bounded domain in Cn. This condition, related to the normal component on ∂D of the ∂-operator, permits us to study the Neumann problem for pluriharmonic functions and the ∂-problem for (0,1)-forms on D with solutions having assigned real part on the boundary.
LA - eng
KW - Variable compleja; Funciones de varias variables; Funciones pluriarmónicas; Neumann problem; pluriharmonic functions; -problem; orthogonality; spherical harmonics
UR - http://eudml.org/doc/41402
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.