eng URI http://hdl.handle.net/10795/1993 μαθηματικά We provide some new estimates for Bellman type functions for the dyadic maximal operator Rn 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 deferent measures related to the weight we give new estimates for the above Bellman type functions. 10 pp. LOMv1.0 creator LOMv1.0 Scientific Coordinator LOMv1.0 Project Executing Organisation 2015-09-25 Digital Library of the Operational Programme "Education and Lifelong Learning" abstract types Text Bellman Dyadic Maximal Lorentz arxiv.org/pdf/1511.07146.pdf 177904 application/pdf http://repository.edulll.gr/edulll/bitstream/10795/1993/2/1993_E.E.5_MAXBELLMAN_2760.pdf URI http://hdl.handle.net/10795/1993 LOMv1.0creator 2016-02-18T09:33:39Z LOMv1.0validator 2016-02-18T09:33:39Z LOMv1.0 gre no no Copyright EYD-EPEDBM (Operational Programme "Education and Lifelong Learning")