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

Abstract

Let $\Omega =\{(x,y)\in {\mathbb{R}}^2:|x|<y+1,x^2>4y\}$. We prove that the optimal exponent in Markov's inequality on $\Omega$ in $L^p$ norms is 4.

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References in corpus (1)

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