Strong summability of Ciesielski–Fourier series
Volume 161 / 2004
                    
                    
                        Studia Mathematica 161 (2004), 269-302                    
                                        
                        MSC: Primary 41A15, 40F05, 42A24; Secondary 42C10, 42B08.                    
                                        
                        DOI: 10.4064/sm161-3-4                    
                                    
                                                Abstract
A strong summability result is proved for the Ciesielski–Fourier series of integrable functions. It is also shown that the strong maximal operator is of weak type $(1,1)$.