Extremal sequences for the Bellman function of three variables of the dyadic maximal operator in relation to Kolmogorov's inequality

Abstract

We give a characterization of the extremal sequences for the Bellman function of three variables of the dyadic maximal operator in relation to Kolmogorov's inequality. In fact we prove that they behave approximately like eigenfunctions of this operator for a specific eigenvalue. For this approach we use the one introduced in [4], where the respective Bellman function has been precisely evaluated.

32 pages

References in corpus (1)

• A sharp integral rearrangement inequality for the dyadic maximal operator and applications

Cited by in corpus (1)

• Extremal sequences for the Bellman function of the dyadic maximal operator