Polynomial asymptotics and approximation of Sobolev functions
    
    
  
  
  
      
      
      
        
Studia Mathematica, Tome 113 (1995) no. 1, pp. 55-64
    
  
  
  
  
  
    
      
      
        
      
      
      
    Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
            
              We prove several results concerning density of $C_{0}^{∞}$, behaviour at infinity and integral representations for elements of the space $L^{m,p} = {⨍ | ∇^{m}⨍ ∈ L^p}$.
            
            
            
          
        
      
                  
                    
                    
                    
                        
Keywords: 
Sobolev space, Beppo Levi space, approximation, polynomial asymptotics, density of $C_0^∞$ functions
                    
                    
                    
                  
                
                
                
                
                
                Affiliations des auteurs :
                
                
                  
                    
                
                
                
                
                
                
                
                
                
                
              Piotr Hajłasz 1 ;  1
@article{10_4064_sm_113_1_55_64,
     author = {Piotr Haj{\l}asz and  },
     title = {Polynomial asymptotics and approximation of {Sobolev} functions},
     journal = {Studia Mathematica},
     pages = {55--64},
     publisher = {mathdoc},
     volume = {113},
     number = {1},
     year = {1995},
     doi = {10.4064/sm-113-1-55-64},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-113-1-55-64/}
}
                      
                      
                    TY - JOUR AU - Piotr Hajłasz AU - TI - Polynomial asymptotics and approximation of Sobolev functions JO - Studia Mathematica PY - 1995 SP - 55 EP - 64 VL - 113 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/sm-113-1-55-64/ DO - 10.4064/sm-113-1-55-64 LA - en ID - 10_4064_sm_113_1_55_64 ER -
Piotr Hajłasz; . Polynomial asymptotics and approximation of Sobolev functions. Studia Mathematica, Tome 113 (1995) no. 1, pp. 55-64. doi: 10.4064/sm-113-1-55-64
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