Sur les changements de signe d'une fonction harmonique dans le demi-plan

Lucien Chevalier; Alain Dufresnoy

Studia Mathematica (2001)

  • Volume: 147, Issue: 2, page 169-182
  • ISSN: 0039-3223

Abstract

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In our recent paper [2], the study of the kernel associated with a singular integral led us to another question, relating to the boundary behaviour of the sign of a harmonic function in a half-plane. In this paper, the possible existence of sign oscillations of the Poisson integral P(f) in the half-plane along rays is related to regularity properties of the boundary function f. This allows us to obtain a result of Fatou type for the sign of P(f), under a regularity assumption that we prove to be optimal.

How to cite

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Lucien Chevalier, and Alain Dufresnoy. "Sur les changements de signe d'une fonction harmonique dans le demi-plan." Studia Mathematica 147.2 (2001): 169-182. <http://eudml.org/doc/284542>.

@article{LucienChevalier2001,
author = {Lucien Chevalier, Alain Dufresnoy},
journal = {Studia Mathematica},
language = {fre},
number = {2},
pages = {169-182},
title = {Sur les changements de signe d'une fonction harmonique dans le demi-plan},
url = {http://eudml.org/doc/284542},
volume = {147},
year = {2001},
}

TY - JOUR
AU - Lucien Chevalier
AU - Alain Dufresnoy
TI - Sur les changements de signe d'une fonction harmonique dans le demi-plan
JO - Studia Mathematica
PY - 2001
VL - 147
IS - 2
SP - 169
EP - 182
LA - fre
UR - http://eudml.org/doc/284542
ER -

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