Extremal sequences for the Bellman function of the dyadic maximal operator

Abstract

We give a characterization of the extremal sequences for the Bellman function of the dyadic maximal operator.In fact we prove that they behave approximately like eigenfunctions of this operator for a specific eigenvalue.

20 pages

References in corpus (2)

• Best constants for uncentered maximal functions
• Extremal sequences for the Bellman function of three variables of the dyadic maximal operator in relation to Kolmogorov's inequality