Bernstein-Szegő inequality for the Riesz derivative of trigonometric polynomials in $L_p$-spaces, $0\le p\le\infty$, with classical value of the sharp constant

The Bernstein-Szegő inequality for the Weyl derivative of real order $\alpha\ge 0$ trigonometric polynomials degree $n$ is considered. aim to find values parameters which sharp constant in this equal $n^\alpha$ (the classical value) all $L_p$-spaces, $0\le p\le\infty$. set such $\alpha$ described some important particular cases Weyl-Szegő derivative, namely, Riesz and conjugate $n\in\mathbb N$. Bibliography: 22 titles.