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Integral Operators on a Subspace of Holomorphic Functions on the Disc
| Title: | Integral Operators on a Subspace of Holomorphic Functions on the Disc |
| Authors: | Nakazi, Takahiko Browse this author |
| Keywords: | Integration operator | | Nevanlinna type space | | Bloch space | | open unit disc |
| Issue Date: | 2006 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 789 |
| Start Page: | 1 |
| End Page: | 12 |
| Abstract: | Let H(D) be an algebra of all holomorphic functions on the open nit disc D and X a subspace of H(D). When g is a function in H(D), put g(f)(z) = z ( )g0( )d and Ig(f)(z) = z 0( )g( )d (z 2 D) or f in X. In this paper, we study J[X] = {g 2 H(D) ; Jg(f) 2 X for all f in X} and [X] = {g 2 H(D) ; Ig(f) 2 X for all f in X}. We apply the results to concrete spaces. or example, we study J[X] and I[X] when X is a weighted Bloch space, a Hardy space r a Privalov space. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69597 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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