Estimates for the Hardy–Littlewood maximal function on the Heisenberg group
Tom 103 / 2005
                    
                    
                        Colloquium Mathematicum 103 (2005), 199-205                    
                                        
                        MSC: 42B25, 43A15.                    
                                        
                        DOI: 10.4064/cm103-2-5                    
                                    
                                                Streszczenie
We prove the dimension free estimates of the $L^p\rightarrow L^p$, $1< p\leq \infty $, norms of the Hardy–Littlewood maximal operator related to the optimal control balls on the Heisenberg group ${{\mathbb H}}^n$.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            