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
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
@article{10_4064_sm_141_3_209_219,
author = {M. Baran and W. Ple\'sniak},
title = {Polynomial inequalities on algebraic sets},
journal = {Studia Mathematica},
pages = {209--219},
year = {2000},
volume = {141},
number = {3},
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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