Tangential Markov inequality in norms
Agnieszka Kowalska (2015)
Banach Center Publications
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In 1889 A. Markov proved that for every polynomial p in one variable the inequality is true. Moreover, the exponent 2 in this inequality is the best possible one. A tangential Markov inequality is a generalization of the Markov inequality to tangential derivatives of certain sets in higher-dimensional Euclidean spaces. We give some motivational examples of sets that admit the tangential Markov inequality with the sharp exponent. The main theorems show that the results on certain arcs...