Product rule and chain rule estimates for the Haj/lasz gradient on doubling metric measure spaces
Volume 105 / 2006
                    
                    
                        Colloquium Mathematicum 105 (2006), 19-24                    
                                        
                        MSC: 46E35, 42B35, 26A33; Secondary 28A15, 46G05.                    
                                        
                        DOI: 10.4064/cm105-1-2                    
                                    
                                                Abstract
We use the Calderón Maximal Function to prove the Kato–Ponce Product Rule Estimate and the Christ–Weinstein Chain Rule Estimate for the Haj/lasz gradient on doubling measure metric spaces.