Quelques espaces fonctionnels associés à des processus gaussiens
    
    
  
  
  
      
      
      
        
Studia Mathematica, Tome 107 (1993) no. 2, pp. 171-204
    
  
  
  
  
  
    
      
      
        
      
      
      
    Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
            
              The first part of the paper presents results on Gaussian measures supported by general Banach sequence spaces and by particular spaces of Besov-Orlicz type. In the second part, a new constructive isomorphism between the just mentioned sequence spaces and corresponding function spaces is established. Consequently, some results on the support function spaces for the Gaussian measure corresponding to the fractional Brownian motion are proved. Next, an application to stochastic equations is given. The last part of the paper contains a result on the support function spaces for stable processes with independent increments.
            
            
            
          
        
      @article{10_4064_sm_107_2_171_204,
     author = {Z. Ciesielski},
     title = {Quelques espaces fonctionnels associ\'es \`a des processus gaussiens},
     journal = {Studia Mathematica},
     pages = {171--204},
     publisher = {mathdoc},
     volume = {107},
     number = {2},
     year = {1993},
     doi = {10.4064/sm-107-2-171-204},
     language = {fr},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-107-2-171-204/}
}
                      
                      
                    TY - JOUR AU - Z. Ciesielski TI - Quelques espaces fonctionnels associés à des processus gaussiens JO - Studia Mathematica PY - 1993 SP - 171 EP - 204 VL - 107 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/sm-107-2-171-204/ DO - 10.4064/sm-107-2-171-204 LA - fr ID - 10_4064_sm_107_2_171_204 ER -
Z. Ciesielski. Quelques espaces fonctionnels associés à des processus gaussiens. Studia Mathematica, Tome 107 (1993) no. 2, pp. 171-204. doi: 10.4064/sm-107-2-171-204
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