| EPSRC Reference: |
GR/M08301/01 |
| Title: |
APPROXIMATION NUMBERS OF VOLTERRA INTEGRAL OPERATORS |
| Principal Investigator: |
Edmunds, Professor D |
| Other Investigators: |
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| Department: |
Sch of Mathematical & Physical Sciences |
| Organisation: |
University of Sussex |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
22 June 1998 |
Ends: |
21 August 1998 |
Value (£): |
3,145
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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We propose to study the Volterra integral operator T:Lp(IR+)Lp(IL+) given by (Tf)(x)=v(x)=x0u(t)f(t)dt, where u and v are weights. The object is to obtain sharp information about the behaviour of the approximation numbers of T by means of a combination of the techniques used recently by Solomyak and his co-authors and by Edmunds, Evans and Harris. In particular, it is hoped to obtain results in an Lp- setting (p2) which were previously known only when p=2.
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.sussex.ac.uk |