Extremal Sequences for the Bellman Function of the Dyadic Maximal Operator and Applications to the Hardy Operator
Printed: Dec 2017
We prove that the extremal sequences for the
Bellman function of the dyadic maximal operator behave approximately
as eigenfunctions of this operator for a specific eigenvalue.
We use this result to prove the analogous one with respect to
the Hardy operator.
Bellman function, dyadic, Hardy operator, maximal
42B25 - Maximal functions, Littlewood-Paley theory