The $L_p$-Boundedness of Some Classes of Pseudo-Differential Operators on the $m$-Dimensional Torus
    
    
  
  
  
      
      
      
        
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 22 (2016) no. 4, pp. 64-80
    
  
  
  
  
  
    
      
      
        
      
      
      
    Voir la notice de l'article provenant de la source Math-Net.Ru
            
              			We prove that certain classes of pseudo-differential operators with symbols that are nonsmooth in the space variable are $L_p$-bounded on the $m$-dimensional torus for $1 \leq p \leq \infty$.
			
            
            
            
          
        
      
                  
                    
                    
                    
                    
                    
                      
Keywords: 
pseudo-differential operator, bounded operator, $m$-dimensional torus.
Mots-clés : symbol
                    
                  
                
                
                Mots-clés : symbol
@article{TIMM_2016_22_4_a6,
     author = {D. B. Bazarkhanov},
     title = {The $L_p${-Boundedness} of {Some} {Classes} of {Pseudo-Differential} {Operators} on the $m${-Dimensional} {Torus}},
     journal = {Trudy Instituta matematiki i mehaniki},
     pages = {64--80},
     publisher = {mathdoc},
     volume = {22},
     number = {4},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMM_2016_22_4_a6/}
}
                      
                      
                    TY - JOUR AU - D. B. Bazarkhanov TI - The $L_p$-Boundedness of Some Classes of Pseudo-Differential Operators on the $m$-Dimensional Torus JO - Trudy Instituta matematiki i mehaniki PY - 2016 SP - 64 EP - 80 VL - 22 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TIMM_2016_22_4_a6/ LA - ru ID - TIMM_2016_22_4_a6 ER -
%0 Journal Article %A D. B. Bazarkhanov %T The $L_p$-Boundedness of Some Classes of Pseudo-Differential Operators on the $m$-Dimensional Torus %J Trudy Instituta matematiki i mehaniki %D 2016 %P 64-80 %V 22 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/TIMM_2016_22_4_a6/ %G ru %F TIMM_2016_22_4_a6
D. B. Bazarkhanov. The $L_p$-Boundedness of Some Classes of Pseudo-Differential Operators on the $m$-Dimensional Torus. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 22 (2016) no. 4, pp. 64-80. http://geodesic.mathdoc.fr/item/TIMM_2016_22_4_a6/
