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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… Click to show full 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 of this operator for a specific eigenvalue. For this approach we use the one introduced in [4], where the respective Bellman function has been precisely evaluated.
Keywords:
three variables;
bellman function;
sequences bellman;
function three;
function;
extremal sequences
Journal Title: Transactions of the American Mathematical Society
Year Published: 2019
Link to full text (if available)
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Journal Title: Transactions of the American Mathematical Society
Year Published: 2019
Link to full text (if available)
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recommendations!