Geodesic
Bernstein and van der Corput-Schaake type inequalities on semialgebraic curves
Studia Mathematica, Tome 125 (1997) no. 1, pp. 83-96

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, piecewise $C^1$ curves K in $ℝ^n$, the semialgebraic curves are exactly those which admit a Bernstein (or a van der Corput-Schaake) type inequality for the derivatives of (the traces of) polynomials on K.
DOI : 10.4064/sm-125-1-83-96
Keywords: Bernstein and van der Corput-Schaake type inequalities, semialgebraic curves, algebraic manifolds, pluricomplex Green function, Lipschitz functions

M. Baran 1 ;  1

1 
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M. Baran;  . Bernstein and van der Corput-Schaake type inequalities on semialgebraic curves. Studia Mathematica, Tome 125 (1997) no. 1, pp. 83-96. doi: 10.4064/sm-125-1-83-96

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