Siciak’s extremal function via Bernstein and Markov constants for compact sets in
Leokadia Bialas-Ciez (2012)
Annales Polonici Mathematici
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The paper is concerned with the best constants in the Bernstein and Markov inequalities on a compact set . We give some basic properties of these constants and we prove that two extremal-like functions defined in terms of the Bernstein constants are plurisubharmonic and very close to the Siciak extremal function . Moreover, we show that one of these extremal-like functions is equal to if E is a nonpluripolar set with where , the supremum is taken over all polynomials P of N variables...