On I.\,P.~Mityuk's results on the the behavior of the inner radius of a~domain and the condenser's capacity under regular mappings
    
    
  
  
  
      
      
      
        
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 24, Tome 371 (2009), pp. 37-55
    
  
  
  
  
  
    
      
      
        
      
      
      
    Voir la notice de l'article provenant de la source Math-Net.Ru
            
              			The classical Lindelöf principle on the behavior of Green's function under a regular mapping is generalized to the case of Robinson's function with a pole at a boundary point. In addition reverse inequalities in the Lindelöf principle are considered. As corollaries, certain analogs of Mityuk's theorems on the behavior of the inner radius of a domain are established. Also we supplement a special case of a Mityuk's theorems and a Kloke's result on the change of the condenser capacity under a multivalent mapping. Bibl. – 19 titles.
			
            
            
            
          
        
      @article{ZNSL_2009_371_a3,
     author = {V. N. Dubinin},
     title = {On {I.\,P.~Mityuk's} results on the the behavior of the inner radius of a~domain and the condenser's capacity under regular mappings},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {37--55},
     publisher = {mathdoc},
     volume = {371},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2009_371_a3/}
}
                      
                      
                    TY - JOUR AU - V. N. Dubinin TI - On I.\,P.~Mityuk's results on the the behavior of the inner radius of a~domain and the condenser's capacity under regular mappings JO - Zapiski Nauchnykh Seminarov POMI PY - 2009 SP - 37 EP - 55 VL - 371 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZNSL_2009_371_a3/ LA - ru ID - ZNSL_2009_371_a3 ER -
%0 Journal Article %A V. N. Dubinin %T On I.\,P.~Mityuk's results on the the behavior of the inner radius of a~domain and the condenser's capacity under regular mappings %J Zapiski Nauchnykh Seminarov POMI %D 2009 %P 37-55 %V 371 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZNSL_2009_371_a3/ %G ru %F ZNSL_2009_371_a3
V. N. Dubinin. On I.\,P.~Mityuk's results on the the behavior of the inner radius of a~domain and the condenser's capacity under regular mappings. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 24, Tome 371 (2009), pp. 37-55. http://geodesic.mathdoc.fr/item/ZNSL_2009_371_a3/