Kolmogorov's inequality for functions analytic in a~half-plane
    
    
  
  
  
      
      
      
        
Trudy Instituta matematiki i mehaniki, Function theory, Tome 11 (2005) no. 2, pp. 3-9
    
  
  
  
  
  
    
      
      
        
      
      
      
    Voir la notice de l'article provenant de la source Math-Net.Ru
            
              			The exact Kolmogorov inequality
$$
\|f^{(k)}\|_p\le\|f\|_p^{1-k/n},\quad1\le k,\quad1\le p\le\infty,
$$
is obtained in the Hardy space $H_p$ of functions analytic in a half-plane.
			
            
            
            
          
        
      @article{TIMM_2005_11_2_a0,
     author = {R. R. Akopian},
     title = {Kolmogorov's inequality for functions analytic in a~half-plane},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {3--9},
     publisher = {mathdoc},
     volume = {11},
     number = {2},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2005_11_2_a0/}
}
                      
                      
                    R. R. Akopian. Kolmogorov's inequality for functions analytic in a~half-plane. Trudy Instituta matematiki i mehaniki, Function theory, Tome 11 (2005) no. 2, pp. 3-9. http://geodesic.mathdoc.fr/item/TIMM_2005_11_2_a0/
