Bernstein and van der Corput-Schaake type inequalities on semialgebraic curves

M. Baran; W. Pleśniak

ArticleOriginal scientific text

Title

Bernstein and van der Corput-Schaake type inequalities on semialgebraic curves

Authors ¹, ¹

Affiliations

Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

Abstract

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.

Keywords

ENG

Bernstein and van der Corput-Schaake type inequalities, semialgebraic curves, algebraic manifolds, pluricomplex Green function, Lipschitz functions

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Title

Bernstein and van der Corput-Schaake type inequalities on semialgebraic curves

Affiliations

Abstract

Keywords

Bibliography