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

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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

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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 -

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