Polynomial inequalities on algebraic sets
Studia Mathematica, Tome 141 (2000) no. 3, pp. 209-219
Cet article a éte moissonné depuis 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
@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/}
}
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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