Generalized Hilbert Matrices Acting on Spaces that are Close to the Hardy Space H 1 and to the Space BMOA
It is known that if X and Y are spaces of holomorphic functions in the unit disc D, which are between the mean Lipschitz space Λ1/pp, where 1
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| Veröffentlicht in: | Complex analysis and operator theory 2019-07, Vol.13 (5), p.2357-2370 |
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| container_title | Complex analysis and operator theory |
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| creator | Jevtić, Miroljub Karapetrović, Boban |
| description | It is known that if X and Y are spaces of holomorphic functions in the unit disc D, which are between the mean Lipschitz space Λ1/pp, where 1 |
| doi_str_mv | 10.1007/s11785-019-00892-4 |
| format | Article |
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We improve this result by proving that the same conclusion holds if we replace the space Λ1/pp, 1<p<∞, by the space Λ11. Also we prove that the same conclusion holds if X and Y are spaces of holomorphic functions in D, which are between the Besov space B1,1 and the mixed norm space H∞,1,1. 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We improve this result by proving that the same conclusion holds if we replace the space Λ1/pp, 1<p<∞, by the space Λ11. Also we prove that the same conclusion holds if X and Y are spaces of holomorphic functions in D, which are between the Besov space B1,1 and the mixed norm space H∞,1,1. 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| subjects | Analytic functions Function space H infinity Mathematical analysis Mathematics Operators (mathematics) |
| title | Generalized Hilbert Matrices Acting on Spaces that are Close to the Hardy Space H 1 and to the Space BMOA |
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