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arXiv · 1305.2522

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

Eleftherios Nikolidakis
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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.

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Eleftherios Nikolidakis. 2013-05-11. Extremal sequences for the Bellman function of the dyadic maximal operator and applications to the Hardy operator. https://arxiv.org/abs/1305.2522

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