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Extremal Sequences for the Bellman Function of the Dyadic Maximal Operator and Applications to the Hardy Operator
Published online by Cambridge University Press: 20 November 2018
Abstract
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.
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- Copyright © Canadian Mathematical Society 2016