| EPSRC Reference: |
GR/N33034/01 |
| Title: |
HANKEL TRANSFORMS AND SINGULAR INTEGRALS IN WEIGHTED BANACH FUNCTION SPACES |
| Principal Investigator: |
Edmunds, Professor D |
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| Department: |
Sch of Mathematical & Physical Sciences |
| Organisation: |
University of Sussex |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 September 2000 |
Ends: |
31 October 2000 |
Value (£): |
3,500
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Summary on Grant Application Form |
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We propose to determine optimal conditions on pairs of weights for the validity of two-weight inequalities in various function spaces for Hankel transforms and multipliers. Two-weight estimates will be sought for Hilbert transforms and also for singular integrals defined on the product of spaces of homogeneous type. It is hoped that the work will give rise to two-weight versions of multiplier theorems, for the Fourier transform, of Mikhlin-Hormander type.
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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 |
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| Date Materialised |
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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 |