Weighted spaces of holomorphic functions on Banach spaces
    
    
  
  
  
      
      
      
        
Studia Mathematica, Tome 138 (2000) no. 1, pp. 1-24
    
  
  
  
  
  
    
      
      
        
      
      
      
    Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
            
              We deal with weighted spaces $HV_0(U)$ and HV(U) of holomorphic functions defined on a balanced open subset U of a Banach space X. We give conditions on the weights to ensure that the weighted spaces of m-homogeneous polynomials constitute a Schauder decomposition for them. As an application, we study their reflexivity. We also study the existence of a predual. Several examples are provided.
            
            
            
          
        
      @article{10_4064_sm_138_1_1_24,
     author = {D. Garc{\'\i}a and   and  },
     title = {Weighted spaces of holomorphic functions on {Banach} spaces},
     journal = {Studia Mathematica},
     pages = {1--24},
     publisher = {mathdoc},
     volume = {138},
     number = {1},
     year = {2000},
     doi = {10.4064/sm-138-1-1-24},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-138-1-1-24/}
}
                      
                      
                    TY - JOUR AU - D. García AU - AU - TI - Weighted spaces of holomorphic functions on Banach spaces JO - Studia Mathematica PY - 2000 SP - 1 EP - 24 VL - 138 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/sm-138-1-1-24/ DO - 10.4064/sm-138-1-1-24 LA - en ID - 10_4064_sm_138_1_1_24 ER -
D. García; ; . Weighted spaces of holomorphic functions on Banach spaces. Studia Mathematica, Tome 138 (2000) no. 1, pp. 1-24. doi: 10.4064/sm-138-1-1-24
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