Geodesic
Characterization of compact subsets of algebraic varieties in terms of Bernstein type inequalities
Studia Mathematica, Tome 141 (2000) no. 3, pp. 221-234

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We show that in the class of compact sets K in $ℝ^n$ with an analytic parametrization of order m, the sets with Zariski dimension m are exactly those which admit a Bernstein (or a van der Corput-Schaake) type inequality for tangential derivatives of (the traces of) polynomials on K.
DOI : 10.4064/sm-141-3-221-234
Keywords: pluricomplex Green function, Siciak extremal function, traces of polynomials on semialgebraic sets, Zariski dimension, Bernstein and van der Corput-Schaake type inequalities

M. Baran 1 ; W. Pleśniak 1

1 
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M. Baran; W. Pleśniak. Characterization of compact subsets of algebraic varieties in terms of Bernstein type inequalities. Studia Mathematica, Tome 141 (2000) no. 3, pp. 221-234. doi: 10.4064/sm-141-3-221-234

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