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.

January 22, 2019

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

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