Estimates for Bellman functions related to dyadic-like maximal operators on weighted spaces
Functional Analysis
2015-11-24 v1
Abstract
We provide some new estimates for Bellman type functions for the dyadic maximal opeator on and of maximal operators on martingales related to weighted spaces. Using a type of symmetrization principle, introduced for the dyadic maximal operator in earlier works of the authors we introduce certain conditions on the weight that imply estimate for the maximal operator on the corresponding weighted space. Also using a well known estimate for the maximal operator by a double maximal operators on different m easures related to the weight we give new estimates for the above Bellman type functions.
Keywords
Cite
@article{arxiv.1511.07146,
title = {Estimates for Bellman functions related to dyadic-like maximal operators on weighted spaces},
author = {Antonios D. Melas and Eleftherios N. Nikolidakis and Dimitrios Cheliotis},
journal= {arXiv preprint arXiv:1511.07146},
year = {2015}
}
Comments
10 pages. arXiv admin note: text overlap with arXiv:1511.06112