Integral Remez inequalities for polynomials on convex bodies

L. M. Arutyunyan

We denote as an integral Remez inequality an inequality of the form $$\Vert f{\Vert }_{L^1(\mu )}\le C(\Omega ,\mu (A),X)\Vert f{\Vert }_{L^1({\mu }_A)},$$ where ${\mu }_A$ is the normalised restriction of a mea…