Extremal sequences for the Bellman function of three variables of the\n dyadic maximal operator in relation to Kolmogorov's inequality

2013/05/27 by Eleftherios N. Nikolidakis, Nikolidakis, Eleftherios
Mathematics · #Advanced Harmonic Analysis Research #Differential Equations and Boundary Problems #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Approximation and Integration #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1305.6208

openalex publication_date 2013/05/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a characterization of the extremal sequences for the Bellman function\nof three variables of the dyadic maximal operator in relation to Kolmogorov's\ninequality. In fact we prove that they behave approximately like eigenfunctions\nof this operator for a specific eigenvalue. For this approach we use the one\nintroduced in [4], where the respective Bellman function has been precisely\nevaluated.\n

Citations

• A sharp integral rearrangement inequality for the dyadic maximal operator and applications

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