Inégalités de Markov tangentielles locales sur les courbes algébriques singulières de ℝⁿ

• Autorzy: Laurent Gendre
• Języki publikacji: FR EN

Abstrakty

EN

We prove that every singular algebraic curve in ℝⁿ admits local tangential Markov inequalities at each of its points. More precisely, we show that the Markov exponent at a point of a real algebraic curve A is less than or equal to twice the multiplicity of the smallest complex algebraic curve containing A.

Kategorie tematyczne

• 32C25: Analytic subsets and submanifolds
• 32U35: Pluricomplex Green functions
• 32F45: Invariant metrics and pseudodistances
• 14P10: Semialgebraic sets and related spaces
• 41A17: Inequalities in approximation (Bernstein, Jackson, Nikol\cprime ski{\u\i}-type inequalities)
• 41A25: Rate of convergence, degree of approximation

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2005
• Tom: 86
• Numer: 1
• Strony: 59-77

Daty

wydano

2005

Twórcy

autor

Laurent Gendre

• Laboratoire Émile Picard, UMR 5580, UFR MIG, Université Paul Sabatier, 118, route de Narbonne, 31 062 Toulouse Cedex 4, France

Identyfikatory

DOI

10.4064/ap86-1-7