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Extremal sequences for the Bellman function of the dyadic maximal operator and applications to the Hardy operator

2013/05/11 by Nikolidakis, Eleftherios
#42B25 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1305.2522

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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