Generalized Nikolskii's property and asymptotic exponent in Markov's inequality

Abstract

We introduce an asymptotic Markov's exponent and show that it is equal to Markov's exponent for a wide class of norms. As a consequence we obtain a lower bound for the optimal exponent in Markov's inequality considered with the norms possessing Nikolskii type property.

Cited by in corpus (1)

• Markov's inequality on Koornwinder's domain in $L^p$ norms