Composition Operators and Multiplication Operators on Weighted Spaces of Analytic Functions
Let V be an arbitrary system of weights on an open connected subset G of ℂN(N≥1) and let B(E) be the Banach algebra of all bounded linear operators on a Banach space E. Let HVb(G,E) and HV0(G,E) be the weighted locally convex spaces of vector-valued analytic functions. In this survey, we present a d...
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| Format: | Article |
| Language: | English |
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Wiley
2007-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2007/92070 |
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| author | J. S. Manhas |
| author_facet | J. S. Manhas |
| author_sort | J. S. Manhas |
| collection | DOAJ |
| description | Let V be an arbitrary system of weights on an open connected subset G of ℂN(N≥1) and let B(E) be the Banach algebra of all bounded linear operators on a Banach space E. Let HVb(G,E) and HV0(G,E) be the weighted locally convex spaces of vector-valued
analytic functions. In this survey, we present a development of the theory
of multiplication operators and composition operators from classical spaces of
analytic functions H(G) to the weighted spaces of analytic functions HVb(G,E) and HV0(G,E). |
| format | Article |
| id | doaj-art-6dc9eac6c78c40f2804fd29970eb6dad |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2007-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-6dc9eac6c78c40f2804fd29970eb6dad2025-08-20T03:33:50ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252007-01-01200710.1155/2007/9207092070Composition Operators and Multiplication Operators on Weighted Spaces of Analytic FunctionsJ. S. Manhas0Department of Mathematics and Statistics, College of Science, Sultan Qaboos University, P.O. Box 36, Muscat 123, OmanLet V be an arbitrary system of weights on an open connected subset G of ℂN(N≥1) and let B(E) be the Banach algebra of all bounded linear operators on a Banach space E. Let HVb(G,E) and HV0(G,E) be the weighted locally convex spaces of vector-valued analytic functions. In this survey, we present a development of the theory of multiplication operators and composition operators from classical spaces of analytic functions H(G) to the weighted spaces of analytic functions HVb(G,E) and HV0(G,E).http://dx.doi.org/10.1155/2007/92070 |
| spellingShingle | J. S. Manhas Composition Operators and Multiplication Operators on Weighted Spaces of Analytic Functions International Journal of Mathematics and Mathematical Sciences |
| title | Composition Operators and Multiplication Operators on Weighted Spaces of Analytic Functions |
| title_full | Composition Operators and Multiplication Operators on Weighted Spaces of Analytic Functions |
| title_fullStr | Composition Operators and Multiplication Operators on Weighted Spaces of Analytic Functions |
| title_full_unstemmed | Composition Operators and Multiplication Operators on Weighted Spaces of Analytic Functions |
| title_short | Composition Operators and Multiplication Operators on Weighted Spaces of Analytic Functions |
| title_sort | composition operators and multiplication operators on weighted spaces of analytic functions |
| url | http://dx.doi.org/10.1155/2007/92070 |
| work_keys_str_mv | AT jsmanhas compositionoperatorsandmultiplicationoperatorsonweightedspacesofanalyticfunctions |