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

Nikolidakis, Eleftherios Nikolaos

Canadian journal of mathematics, Tome 69 (2017) no. 6, pp. 1364-1384

Résumé

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.

Détail

DOI : 10.4153/CJM-2016-025-0

Mots-clés : 42B25, Bellman function, dyadic, Hardy operator, maximal

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