An alternative proof of a sharp generalization of an integral inequality for the dyadic maximal operator and applications

2016/04/11 by Eleftherios N. Nikolidakis, Nikolidakis, Eleftherios N.
Mathematics · #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1604.02789

openalex publication_date 2016/04/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We give an alternative proof of a sharp generalization of an integral inequality for the dyadic maximal operator due to which the evaluation of the Bellman function of this operator with respect to two variables, is possible. This last mentioned inequality, which was first noticed in [3],also generalizes in a certain direction the results of [7].

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