Vector-valued inequalities for the commutators of fractional integrals with rough kernels
Volume 222 / 2014
                    
                    
                        Studia Mathematica 222 (2014), 97-122                    
                                        
                        MSC: Primary 42B20; Secondary 42B25.                    
                                        
                        DOI: 10.4064/sm222-2-1                    
                                    
                                                Abstract
Some conditions implying vector-valued inequalities for the commutator of a fractional integral and a fractional maximal operator are established. The results obtained are substantial improvements and extensions of some known results.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            