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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| Format: | Article |
| Language: | English |
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Wiley
1987-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171287000553 |
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| author | S. Pattanayak C. K. Mohapatra A. K. Mishra |
| author_facet | S. Pattanayak C. K. Mohapatra A. K. Mishra |
| author_sort | S. Pattanayak |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-b1e0c045b304443f836572d7309b2d62 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1987-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-b1e0c045b304443f836572d7309b2d622025-02-03T01:11:23ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251987-01-0110347348210.1155/S0161171287000553A new class of composition operatorsS. Pattanayak0C. K. Mohapatra1A. K. Mishra2School of Mathematical Sciences, Sambalpur University, Jyoti Vihar 768019, IndiaSchool of Mathematical Sciences, Sambalpur University, Jyoti Vihar 768019, IndiaSchool of Mathematical Sciences, Sambalpur University, Jyoti Vihar 768019, IndiaA 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.http://dx.doi.org/10.1155/S0161171287000553Hp spacecomposition operatorHilbert Schmidt operatorcompact operator. |
| spellingShingle | S. Pattanayak C. K. Mohapatra A. K. Mishra A new class of composition operators International Journal of Mathematics and Mathematical Sciences Hp space composition operator Hilbert Schmidt operator compact operator. |
| title | A new class of composition operators |
| title_full | A new class of composition operators |
| title_fullStr | A new class of composition operators |
| title_full_unstemmed | A new class of composition operators |
| title_short | A new class of composition operators |
| title_sort | new class of composition operators |
| topic | Hp space composition operator Hilbert Schmidt operator compact operator. |
| url | http://dx.doi.org/10.1155/S0161171287000553 |
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