2023-03-28T08:05:40Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/695622022-11-17T02:08:08Zhdl_2115_45007hdl_2115_116Generalized Riesz Projections and Toeplitz OperatorsNakazi, TakahikoYamamoto, Takanoriopen accessweighted norm inequalityweighted Hardy spaceToeplitz operatorMuckenhoupt condition (Ap)Riesz projection410Let 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.Department of Mathematics, Hokkaido University2005engdepartmental bulletin paperVoRhttps://doi.org/10.14943/83904http://hdl.handle.net/2115/6956210.14943/83904Hokkaido University Preprint Series in Mathematics754126https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/69562/1/pre754.pdfapplication/pdf890.24 KB2005