A non-doubling Trudinger inequality
Volume 170 / 2005
                    
                    
                        Studia Mathematica 170 (2005), 113-119                    
                                        
                        MSC: Primary 46E35.                    
                                        
                        DOI: 10.4064/sm170-2-1                    
                                    
                                                Abstract
We establish a Trudinger inequality for functions that satisfy a suitable Poincarè inequality in a Euclidean space equipped with a Borel measure that need not be doubling.
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            