Finite-infinite range inequalities in the complex plane

Let E ￠ …C be closed, ‰ be a suitable weight function on E, be a positive Borel measure on E. We discuss the conditions on ‰ and which ensure the existence of a fixed compact subset K of E with the following property. For any p, 0 Keywords finite-infinite range inequalities --- orthogonal polynomials --- weighted polynomials --- Nikolskii inequalities.