Sharp and general estimates for the Bellman function of three integral variables related to the dyadic maximal operator
Volume 153 / 2018
                    
                    
                        Colloquium Mathematicum 153 (2018), 27-37                    
                                        
                        MSC: Primary 42B25.                    
                                        
                        DOI: 10.4064/cm7205-6-2017                    
                                            
                            Published online: 26 March 2018                        
                                    
                                                Abstract
We compute the Bellman function of three integral variables associated to the dyadic maximal operator on a subset of its domain. Additionally, we provide an upper bound for the whole domain of its definition.