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Generalized Riesz Projections and Toeplitz Operators

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/83904

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
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

Submitter: 数学紀要登録作業用

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