A NEW CLASS OF COMPOSITION OPERATORS

A NEW CLASS OF COMPOSITION OPERATORS
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DOI:
10.1155/s0161171287000553
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发表时间:
1987
影响因子:
1.2
通讯作者:
S. Pattanayak;J. Vihar
S. Pattanayak;J. Vihar
中科院分区:
--
文献类型:
--
作者:
S. Pattanayak;J. Vihar

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引入了一类新的复合算子P: H2(T) H2(T),具有:T/。得到了P有界和Hilbert-Schmidt的充分条件。研究了参数a和b的不同取值下,P与(eit) + be -it的性质。最后讨论了P的紧性
A new class of composition operators P: H2(T) H2(T), with : T/ is introduced. Sufficient conditions on for P to be bounded and Hilbert-Schmidt are obtained. Properties of P with (eit) ae it + be -it for different values of the parameters a and b have been investigated. This paper concludes with a discussion on the compactness of P