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Properties of extremal sequences for the Bellman function of the dyadic maximal operator

Volume 133 / 2013

Eleftherios N. Nikolidakis Colloquium Mathematicum 133 (2013), 273-282 MSC: Primary 42B25; Secondary 42B99. DOI: 10.4064/cm133-2-13

Abstract

We prove a necessary condition that has every extremal sequence for the Bellman function of the dyadic maximal operator. This implies the weak-$L^p$ uniqueness for such a sequence.

Authors

  • Eleftherios N. NikolidakisDepartment of Mathematics
    National and Kapodistrian University of Athens
    Panepistimioypolis 15784, Athens, Greece
    e-mail

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