A new class of composition operators
A new class of composition operators Pϕ:H2(T)→H2(T), with ϕ:T→D¯ is introduced. Sufficient conditions on ϕ for Pϕ to be bounded and Hilbert-Schmidt are obtained. Properties of Pϕ with ϕ(eit)=aeit+be−it for different values of the parameters a and b have been investigated. This paper concludes with a...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1987-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171287000553 |
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| Summary: | A new class of composition operators Pϕ:H2(T)→H2(T), with ϕ:T→D¯ is introduced. Sufficient conditions on ϕ for Pϕ to be bounded and Hilbert-Schmidt are obtained. Properties of Pϕ with ϕ(eit)=aeit+be−it for different values of the parameters a and b have been investigated. This paper concludes with a discussion on the compactness of Pϕ. |
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| ISSN: | 0161-1712 1687-0425 |