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Hokkaido University Preprint Series in Mathematics >
Generalized Riesz Projections and Toeplitz Operators
| Title: | Generalized Riesz Projections and Toeplitz Operators |
| Authors: | Nakazi, Takahiko Browse this author | | Yamamoto, Takanori Browse this author |
| Keywords: | weighted norm inequality | | weighted Hardy space | | Toeplitz operator | | Muckenhoupt condition (Ap) | | Riesz projection |
| Issue Date: | 2005 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 754 |
| Start Page: | 1 |
| End Page: | 26 |
| Abstract: | Let 1 < p < ∞ . In this paper, for a measurable function v and a weight function w, the generalized Riesz projection P v is defined by P vf = vP(v -1f). (f ∈ L p(w)). If P0 is the self-adjoint projection from L2 (w) onto H2 (w), then P0 = P α for some outer function α satisfying w = |α| -2 . In this paper, P v on L p (w) is studied. As an application, the invertibility criterion for the generalized Toeplitz operator Tφv and the generalized singular integral operator φPv+Qv, Qv = I - Pv are investigated using the weighted norm inequality. The operator norm inequality for the generalized Hankel operator Hφv is also presented. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69562 |
| 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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