On Convexity of Composition and Multiplication Operators on Weighted Hardy Spaces
A bounded linear operator T on a Hilbert space ℋ, satisfying ‖T2h‖2+‖h‖2≥2‖Th‖2 for every h∈ℋ, is called a convex operator. In this paper, we give necessary and sufficient conditions under which a convex composition operator on a large class of weighted Hardy spaces is an isometry. Also, we discuss...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2009-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2009/931020 |
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| _version_ | 1832560611485024256 |
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| author | Karim Hedayatian Lotfollah Karimi |
| author_facet | Karim Hedayatian Lotfollah Karimi |
| author_sort | Karim Hedayatian |
| collection | DOAJ |
| description | A bounded linear operator T on a Hilbert space ℋ, satisfying ‖T2h‖2+‖h‖2≥2‖Th‖2 for every h∈ℋ, is called a convex operator. In this paper, we give necessary and sufficient conditions under which a convex
composition operator on a large class of weighted Hardy spaces is an isometry. Also, we discuss convexity of multiplication operators. |
| format | Article |
| id | doaj-art-9a6a0e1762d34b82a388bde0459d1437 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-9a6a0e1762d34b82a388bde0459d14372025-02-03T01:27:14ZengWileyAbstract and Applied Analysis1085-33751687-04092009-01-01200910.1155/2009/931020931020On Convexity of Composition and Multiplication Operators on Weighted Hardy SpacesKarim Hedayatian0Lotfollah Karimi1Department of Mathematics, Shiraz University, Shiraz 71454, IranDepartment of Mathematics, Shiraz University, Shiraz 71454, IranA bounded linear operator T on a Hilbert space ℋ, satisfying ‖T2h‖2+‖h‖2≥2‖Th‖2 for every h∈ℋ, is called a convex operator. In this paper, we give necessary and sufficient conditions under which a convex composition operator on a large class of weighted Hardy spaces is an isometry. Also, we discuss convexity of multiplication operators.http://dx.doi.org/10.1155/2009/931020 |
| spellingShingle | Karim Hedayatian Lotfollah Karimi On Convexity of Composition and Multiplication Operators on Weighted Hardy Spaces Abstract and Applied Analysis |
| title | On Convexity of Composition and Multiplication Operators on Weighted Hardy Spaces |
| title_full | On Convexity of Composition and Multiplication Operators on Weighted Hardy Spaces |
| title_fullStr | On Convexity of Composition and Multiplication Operators on Weighted Hardy Spaces |
| title_full_unstemmed | On Convexity of Composition and Multiplication Operators on Weighted Hardy Spaces |
| title_short | On Convexity of Composition and Multiplication Operators on Weighted Hardy Spaces |
| title_sort | on convexity of composition and multiplication operators on weighted hardy spaces |
| url | http://dx.doi.org/10.1155/2009/931020 |
| work_keys_str_mv | AT karimhedayatian onconvexityofcompositionandmultiplicationoperatorsonweightedhardyspaces AT lotfollahkarimi onconvexityofcompositionandmultiplicationoperatorsonweightedhardyspaces |