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OALib Journal期刊
ISSN: 2333-9721
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加权Dirichlet空间上紧Toeplitz算子
, PP. 36-41
Keywords: 加权Dirichlet空间,Toeplitz算子,紧算子
Abstract:
对α>-1,若算子S是加权Dirichlet空间Dα上有限个Toeplitz算子乘积的有限和，利用不同于加权Dirichlet空间再生核的一种新奇异积分核,得到了S为紧算子的充要条件是当z趋于单位圆盘边界时,S的类Berezin变换趋于0.又利用与Bermgan空间不同的酉算子Uz,定义了算子乘积Sz=UzSUz,得到S为紧算子的充要条件是当z趋于单位圆盘边界时,Szw在Dα内弱收敛到0.
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