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EPSRC Reference: GR/R69617/01
Title: Extrapolation and decomposition
Principal Investigator: Edmunds, Professor D
Other Investigators:
Researcher Co-Investigators:
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Department: Sch of Mathematical & Physical Sciences
Organisation: University of Sussex
Scheme: Standard Research (Pre-FEC)
Starts: 15 November 2001 Ends: 14 February 2002 Value (£): 950
EPSRC Research Topic Classifications:
Mathematical Analysis
EPSRC Industrial Sector Classifications:
No relevance to Underpinning Sectors
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Summary on Grant Application Form
We propose to obtain extrapolation formulae for various Campanato spaces (including Morrey spaces) in line with earlier work of the VF and the PI relating to Lebesgue and Lorentz spaces. We also intend to study the integrability properties of certain integrals related to those occurring in a famous paper of Moser (and a subsequent one of Jodeit) concerning the exponential integrability of functions in . particular Sobolev spaces. This should lead to double exponential integrability assertions, in limiting .situations, relating to functions in spaces of Sobolev type modelled on Zygmund spaces: :'
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Organisation Website: http://www.sussex.ac.uk