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Extremal Sequences for the Bellman Function of the Dyadic Maximal Operator and Applications to the Hardy Operator

  Published:2016-07-27
 Printed: Dec 2017
  • Eleftherios Nikolaos Nikolidakis,
    Department of Mathematics, University of Ioannina, Ioannina, Greece
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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.
Keywords: Bellman function, dyadic, Hardy operator, maximal Bellman function, dyadic, Hardy operator, maximal
MSC Classifications: 42B25 show english descriptions Maximal functions, Littlewood-Paley theory 42B25 - Maximal functions, Littlewood-Paley theory
 

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