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Sharp and general estimates for the Bellman function of three integral variables related to the dyadic maximal operator

Volume 153 / 2018

Anastasios D. Delis, Eleftherios N. Nikolidakis Colloquium Mathematicum 153 (2018), 27-37 MSC: Primary 42B25. DOI: 10.4064/cm7205-6-2017 Published online: 26 March 2018

Abstract

We compute the Bellman function of three integral variables associated to the dyadic maximal operator on a subset of its domain. Additionally, we provide an upper bound for the whole domain of its definition.

Authors

  • Anastasios D. DelisDepartment of Mathematics
    University of Athens
    15784 Zografou, Greece
    e-mail
  • Eleftherios N. NikolidakisDepartment of Mathematics
    University of Ioannina
    45110 Ioannina, Greece
    e-mail

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