汕头大学学报:自然科学版
汕頭大學學報:自然科學版
산두대학학보:자연과학판
Journal of Shantou University(Natural Science Edition)
2012年
3期
1-6
,共6页
加权Bergman空间%加权复合算子%Carleson测度%有界%紧
加權Bergman空間%加權複閤算子%Carleson測度%有界%緊
가권Bergman공간%가권복합산자%Carleson측도%유계%긴
weighted Bergman spaces%weighted composition operators%Carlesonmeasure%boundedness%compactness
从加权复合算子形Wψ,ψ和Carleson测度的定义出发,结合已有的结论,用Nevanlinna计数函数刻划出了加权复合算子Wψ,ψ在加权Bergrnan空间Apa上的有界性和紧性.
從加權複閤算子形Wψ,ψ和Carleson測度的定義齣髮,結閤已有的結論,用Nevanlinna計數函數刻劃齣瞭加權複閤算子Wψ,ψ在加權Bergrnan空間Apa上的有界性和緊性.
종가권복합산자형Wψ,ψ화Carleson측도적정의출발,결합이유적결론,용Nevanlinna계수함수각화출료가권복합산자Wψ,ψ재가권Bergrnan공간Apa상적유계성화긴성.
From the the relative results, weighted composition tile boundedness and operators and Carleson measure as well as compactness of acting spacesare characterized in terms of a Nevanlinna counting on weighted Bergman