Polynomial inequalities on algebraic sets
Volume 141 / 2000
Studia Mathematica 141 (2000), 209-219 DOI: 10.4064/sm-141-3-209-219
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.