Properties of extremal sequences for the Bellman function of the dyadic maximal operator
Eleftherios Nikolidakis
TL;DR
This paper establishes a necessary condition for extremal sequences related to the Bellman function of the dyadic maximal operator, leading to the uniqueness of such sequences in the weak-Lp sense.
Contribution
It introduces a necessary condition for extremal sequences, advancing understanding of the Bellman function's extremal properties in harmonic analysis.
Findings
Necessary condition for extremal sequences established
Weak-Lp uniqueness of extremal sequences proven
Enhanced understanding of Bellman function properties
Abstract
We prove a necessary condition that has every extremal sequence for the Bellman function of the dyadic maximal operator.This implies the weak-Lp uniqueness for such a sequence.
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