Characterization of associate spaces of weighted Lorentz spaces with applications
Volume 224 / 2014
                    
                    
                        Studia Mathematica 224 (2014), 1-23                    
                                        
                        MSC: Primary 46E30.                    
                                        
                        DOI: 10.4064/sm224-1-1                    
                                    
                                                Abstract
We characterize associate spaces of weighted Lorentz spaces $G\varGamma (p,m,w)$ and present some applications of this result including necessary and sufficient conditions for a Sobolev-type embedding into $L^ {\infty }$.