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Essential norms of some singular integral operators

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/83608

Title: Essential norms of some singular integral operators
Authors: Nakazi, T. Browse this author
Keywords: Singular integral operator
essential norm
Issue Date: 1-Jun-1999
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 462
Start Page: 1
End Page: 6
Abstract: Let o: and /3 be bounded measurable functions on the unit circle T. The singular integral operator Sa.,() is defined by Sa.,rd = o:P f + /3Qf (f E L2 (T)) where P is an analytic projection and Q is a co-analytic projection. In the previous paper, the norm of Sa.,() was calculated in general, using o:, /3 and o:fJ + H00 where H00 is a Hardy space in L00 (T). In this pa.per, the essential norm JJSa.,(Jlle of Sa.,() is calculated in general, using o:fJ + H00 + C where C is a set of all continuous functions on T. Hence if o:fJ is in H∞ + C then IISa.,(Jlle = max(llo:Jl00, Jl/31100). This gives a known result when o:, /3 are in C.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69212
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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