Extremal sequences for the Bellman function of three variables of the dyadic maximal operator related to Kolmogorov’s inequality
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DOI: 10.1090/tran/7843
Abstract: We give a characterization of the extremal sequences for the Bellman function of three variables of the dyadic maximal operator in relation to Kolmogorov's inequality. In fact we prove that they behave approximately like eigenfunctions… read more here.
Keywords: three variables; bellman function; sequences bellman; function three ... See more keywords
On the Bellman Function Method for Operators on Martingales
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DOI: 10.1134/s1064562421030066
Abstract: It is shown how to apply the Bellman function method to general operators on martingales, i.e., to operators that are not necessarily martingale transforms. As examples of such operators, we consider the Haar transforms and… read more here.
Keywords: operators martingales; method operators; bellman function; function method ... See more keywords
Sharp and general estimates for the Bellman function of three integral variables related to the dyadic maximal operator
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DOI: 10.4064/cm7205-6-2017
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. read more here.
Keywords: function three; three integral; integral variables; bellman function ... See more keywords