Boundary behavior of subharmonic functions in nontangential accessible domains
    
    
  
  
  
      
      
      
        
Studia Mathematica, Tome 108 (1994) no. 1, pp. 25-48
    
  
  
  
  
  
    
      
      
        
      
      
      
    Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
            
              The following results concerning boundary behavior of subharmonic functions in the unit ball of $ℝ^n$ are generalized to nontangential accessible domains in the sense of Jerison and Kenig [7]: (i) The classical theorem of Littlewood on the radial limits. (ii) Ziomek's theorem on the $L^p$-nontangential limits. (iii) The localized version of the above two results and nontangential limits of Green potentials under a certain nontangential condition.
            
            
            
          
        
      
                  
                    
                    
                    
                        
Keywords: 
subharmonic function, Green potential, boundary limit, NTA domain
                    
                    
                    
                  
                
                
                
                
                
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              Shiying Zhao 1
@article{10_4064_sm_108_1_25_48,
     author = {Shiying Zhao},
     title = {Boundary behavior of subharmonic functions in nontangential accessible domains},
     journal = {Studia Mathematica},
     pages = {25--48},
     publisher = {mathdoc},
     volume = {108},
     number = {1},
     year = {1994},
     doi = {10.4064/sm-108-1-25-48},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-108-1-25-48/}
}
                      
                      
                    TY - JOUR AU - Shiying Zhao TI - Boundary behavior of subharmonic functions in nontangential accessible domains JO - Studia Mathematica PY - 1994 SP - 25 EP - 48 VL - 108 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.4064/sm-108-1-25-48/ DO - 10.4064/sm-108-1-25-48 LA - en ID - 10_4064_sm_108_1_25_48 ER -
Shiying Zhao. Boundary behavior of subharmonic functions in nontangential accessible domains. Studia Mathematica, Tome 108 (1994) no. 1, pp. 25-48. doi: 10.4064/sm-108-1-25-48
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