Absolutely continuous dynamics and real coboundary cocycles in $L^p$-spaces, 0  p  ∞
    
    
  
  
  
      
      
      
        
Studia Mathematica, Tome 138 (2000) no. 2, pp. 121-134
    
  
  
  
  
  
    
      
      
        
      
      
      
    Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
            
              Conditions for the existence of measurable and integrable solutions of the cohomology equation on a measure space are deduced. They follow from the study of the ergodic structure corresponding to some families of bidimensional linear difference equations. Results valid for the non-measure-preserving case are also obtained
            
            
            
          
        
      
                
                
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              Ana I. Alonso 1 ;  1 ;  1
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     author = {Ana I. Alonso and   and  },
     title = {Absolutely continuous dynamics and real coboundary cocycles in $L^p$-spaces, 0 < p < \ensuremath{\infty}},
     journal = {Studia Mathematica},
     pages = {121--134},
     publisher = {mathdoc},
     volume = {138},
     number = {2},
     year = {2000},
     doi = {10.4064/sm-138-2-121-134},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-138-2-121-134/}
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Ana I. Alonso; ; . Absolutely continuous dynamics and real coboundary cocycles in $L^p$-spaces, 0 < p < ∞. Studia Mathematica, Tome 138 (2000) no. 2, pp. 121-134. doi: 10.4064/sm-138-2-121-134
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