Siciak's extremal function in complex and real analysis

W. Pleśniak. "Siciak's extremal function in complex and real analysis." Annales Polonici Mathematici 80.1 (2003): 37-46. <http://eudml.org/doc/280412>.

@article{W2003,
abstract = {The Siciak extremal function establishes an important link between polynomial approximation in several variables and pluripotential theory. This yields its numerous applications in complex and real analysis. Some of them can be found on a rich list drawn up by Klimek in his well-known monograph "Pluripotential Theory". The purpose of this paper is to supplement it by applications in constructive function theory.},
author = {W. Pleśniak},
journal = {Annales Polonici Mathematici},
keywords = {Siciak extremal function; pluricomplex Green function; Berstein-Walsh-Siciak inequality; Julia sets; Markov and Berstein type inequalities},
language = {eng},
number = {1},
pages = {37-46},
title = {Siciak's extremal function in complex and real analysis},
url = {http://eudml.org/doc/280412},
volume = {80},
year = {2003},
}

TY - JOUR
AU - W. Pleśniak
TI - Siciak's extremal function in complex and real analysis
JO - Annales Polonici Mathematici
PY - 2003
VL - 80
IS - 1
SP - 37
EP - 46
AB - The Siciak extremal function establishes an important link between polynomial approximation in several variables and pluripotential theory. This yields its numerous applications in complex and real analysis. Some of them can be found on a rich list drawn up by Klimek in his well-known monograph "Pluripotential Theory". The purpose of this paper is to supplement it by applications in constructive function theory.
LA - eng
KW - Siciak extremal function; pluricomplex Green function; Berstein-Walsh-Siciak inequality; Julia sets; Markov and Berstein type inequalities
UR - http://eudml.org/doc/280412
ER -