Essential norms of some singular integral operators

Nakazi, T.

Hokkaido University Preprint Series in Mathematics, 1999, 462, 1-6

Permalink : https://doi.org/10.14943/83608

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DOI	https://doi.org/10.14943/83608
URI	https://hdl.handle.net/2115/69212
タイトル	Essential norms of some singular integral operators
著者	著者名 Nakazi, T.
言語	英語
キーワード	Singular integral operator
キーワード	essential norm
発行日	1999-06-01
出版者	Department of Mathematics, Hokkaido University
収録物名	Hokkaido University Preprint Series in Mathematics
巻(号)	462
ページ	1-6
抄録	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.
資源タイプ	紀要論文
出版タイプ	Version of Record