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   Maximal and area integral characterizations of bergman spaces in the unit ball of ℂn  
   
نویسنده chen z. ,ouyang w.
منبع journal of function spaces - 2013 - دوره : 2013 - شماره : 0
چکیده    We present maximal and area integral characterizations of bergman spaces in the unit ball of ℂn. the characterizations are in terms of maximal functions and area integral functions on bergman balls involving the radial derivative,the complex gradient,and the invariant gradient. as an application,we obtain new maximal and area integral characterizations of besov spaces. moreover,we give an atomic decomposition of real-variable type with respect to carleson tubes for bergman spaces. © 2013 zeqian chen and wei ouyang.
آدرس wuhan institute of physics and mathematics,chinese academy of sciences,30 west district,xiao-hong-shan, China, wuhan institute of physics and mathematics,chinese academy of sciences,30 west district,xiao-hong-shan,wuhan 430071,china,graduate university of chinese academy of sciences, China
 
     
   
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