Wavelet transform for functions with values in UMD spaces
Volume 186 / 2008
                    
                    
                        Studia Mathematica 186 (2008), 101-126                    
                                        
                        MSC: Primary 42C40, 42B25; Secondary 42B15, 42B20, 42B35, 46B20.                    
                                        
                        DOI: 10.4064/sm186-2-1                    
                                    
                                                Abstract
We extend the classical theory of the continuous and discrete wavelet transform to functions with values in UMD spaces. As a by-product we obtain equivalent norms on Bochner spaces in terms of g-functions.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            