Estimation of Green's function on piecewise Dini-smooth bounded Jordan domains

Mohamed Amine Ben Boubaker, and Mohamed Selmi. "Estimation of Green's function on piecewise Dini-smooth bounded Jordan domains." Colloquium Mathematicae 133.1 (2013): 1-22. <http://eudml.org/doc/286677>.

@article{MohamedAmineBenBoubaker2013,
abstract = {We establish inequalities for Green functions on general bounded piecewise Dini-smooth Jordan domains in ℝ². This enables us to prove a new version of the 3G Theorem which generalizes its previous version given in [M. Selmi, Potential Anal. 13 (2000)]. Using these results, we give a comparison theorem for the Green kernel of Δ and the Green kernel of Δ - μ, where μ is a nonnegative and exact Radon measure.},
author = {Mohamed Amine Ben Boubaker, Mohamed Selmi},
journal = {Colloquium Mathematicae},
keywords = {Green function; piecewise Dini-smooth Jordan domain; conformal mapping},
language = {eng},
number = {1},
pages = {1-22},
title = {Estimation of Green's function on piecewise Dini-smooth bounded Jordan domains},
url = {http://eudml.org/doc/286677},
volume = {133},
year = {2013},
}

TY - JOUR
AU - Mohamed Amine Ben Boubaker
AU - Mohamed Selmi
TI - Estimation of Green's function on piecewise Dini-smooth bounded Jordan domains
JO - Colloquium Mathematicae
PY - 2013
VL - 133
IS - 1
SP - 1
EP - 22
AB - We establish inequalities for Green functions on general bounded piecewise Dini-smooth Jordan domains in ℝ². This enables us to prove a new version of the 3G Theorem which generalizes its previous version given in [M. Selmi, Potential Anal. 13 (2000)]. Using these results, we give a comparison theorem for the Green kernel of Δ and the Green kernel of Δ - μ, where μ is a nonnegative and exact Radon measure.
LA - eng
KW - Green function; piecewise Dini-smooth Jordan domain; conformal mapping
UR - http://eudml.org/doc/286677
ER -