Polynomial inequalities on algebraic sets
Studia Mathematica, Tome 141 (2000) no. 3, pp. 209-219
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
We give an estimate of Siciak's extremal function for compact subsets of algebraic varieties in $ℂ^n$ (resp. $ℝ^n$). As an application we obtain Bernstein-Walsh and tangential Markov type inequalities for (the traces of) polynomials on algebraic sets.
Keywords:
Bernstein-Walsh and tangential Markov type inequalities on algebraic sets, pluricomplex Green function, traces of polynomials on algebraic sets, Siciak's extremal function
Affiliations des auteurs :
M. Baran 1 ; W. Pleśniak 1
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author = {M. Baran and W. Ple\'sniak},
title = {Polynomial inequalities on algebraic sets},
journal = {Studia Mathematica},
pages = {209--219},
publisher = {mathdoc},
volume = {141},
number = {3},
year = {2000},
doi = {10.4064/sm-141-3-209-219},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-141-3-209-219/}
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TY - JOUR AU - M. Baran AU - W. Pleśniak TI - Polynomial inequalities on algebraic sets JO - Studia Mathematica PY - 2000 SP - 209 EP - 219 VL - 141 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/sm-141-3-209-219/ DO - 10.4064/sm-141-3-209-219 LA - en ID - 10_4064_sm_141_3_209_219 ER -
M. Baran; W. Pleśniak. Polynomial inequalities on algebraic sets. Studia Mathematica, Tome 141 (2000) no. 3, pp. 209-219. doi: 10.4064/sm-141-3-209-219
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