Estimates for Bellman functions related to dyadic-like maximal operators\n on weighted spaces

2015/11/23 by Antonios D. Melas, Melas, Antonios D., Eleftherios N. Nikolidakis +3
Mathematics · #42B25 #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1511.07146

openalex publication_date 2015/11/23 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28

Abstract

We provide some new estimates for Bellman type functions for the dyadic\nmaximal opeator on Rⁿ and of maximal operators on martingales related to\nweighted spaces. Using a type of symmetrization principle, introduced for the\ndyadic maximal operator in earlier works of the authors we introduce certain\nconditions on the weight that imply estimate for the maximal operator on the\ncorresponding weighted space. Also using a well known estimate for the maximal\noperator by a double maximal operators on different m easures related to the\nweight we give new estimates for the above Bellman type functions.\n

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