Non-similarity of Walsh and trigonometric systems
Volume 142 / 2000
                    
                    
                        Studia Mathematica 142 (2000), 171-185                    
                                        
                        DOI: 10.4064/sm-142-2-171-185                    
                                    
                                                Abstract
We show that in $L_p$ for p ≠ 2 the constants of equivalence between finite initial segments of the Walsh and trigonometric systems have power type growth. We also show that the Riemann ideal norms connected with those systems have power type growth.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            