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

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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… Click to show full 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.

Keywords: function three; three integral; integral variables; bellman function; dyadic maximal; maximal operator

Journal Title: Colloquium Mathematicum
Year Published: 2017

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