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Hokkaido University Preprint Series in Mathematics >
Essential norms of some singular integral operators
| 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 |
| Publisher: | Department of Mathematics, Hokkaido University |
| 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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Submitter: 数学紀要登録作業用
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