Smoothness of the Green function for a special domain

Serkan Celik, and Alexander Goncharov. "Smoothness of the Green function for a special domain." Annales Polonici Mathematici 106.1 (2012): 113-126. <http://eudml.org/doc/280427>.

@article{SerkanCelik2012,
abstract = {We consider a compact set K ⊂ ℝ in the form of the union of a sequence of segments. By means of nearly Chebyshev polynomials for K, the modulus of continuity of the Green functions $g_\{ℂ∖K\}$ is estimated. Markov’s constants of the corresponding set are evaluated.},
author = {Serkan Celik, Alexander Goncharov},
journal = {Annales Polonici Mathematici},
keywords = {Green function; modulus of continuity; nearly Chebyshev polynomials},
language = {eng},
number = {1},
pages = {113-126},
title = {Smoothness of the Green function for a special domain},
url = {http://eudml.org/doc/280427},
volume = {106},
year = {2012},
}

TY - JOUR
AU - Serkan Celik
AU - Alexander Goncharov
TI - Smoothness of the Green function for a special domain
JO - Annales Polonici Mathematici
PY - 2012
VL - 106
IS - 1
SP - 113
EP - 126
AB - We consider a compact set K ⊂ ℝ in the form of the union of a sequence of segments. By means of nearly Chebyshev polynomials for K, the modulus of continuity of the Green functions $g_{ℂ∖K}$ is estimated. Markov’s constants of the corresponding set are evaluated.
LA - eng
KW - Green function; modulus of continuity; nearly Chebyshev polynomials
UR - http://eudml.org/doc/280427
ER -