| EPSRC Reference: |
GR/J65594/01 |
| Title: |
SINGULAR INTEGRALS WITH NON-STANDARD HOMOGENEITIES |
| Principal Investigator: |
Carbery, Professor A |
| Other Investigators: |
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| Department: |
Sch of Mathematical & Physical Sciences |
| Organisation: |
University of Sussex |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 October 1994 |
Ends: |
01 January 1995 |
Value (£): |
104,849
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Summary on Grant Application Form |
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We propose to investigate the basic real variable structure of singular integrals and associated maximal functions whose homogeneity structure is incompatible with the homogeneity of the underlying space. Let G be a homogeneous nilpotent Lie group together with a family of dilations which are not necessarily automorphisms. Let S be an averaging operator on G. We shall examine the maximal operator Mf singular integral operator Tf generated by the action of the dilations on S. We shall investigate the boundedness properties of M and T on the Lebesgue spaces defined on G. We shall also be concerned with various simpler models derived as a consequence of de Leeuw's theorem.
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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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| 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 |