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SUMMARY:A heat-flow approach to some multilinear inequalities in analysis 
 - Jon Bennett (Birmingham)
DTSTART:20070130T163000Z
DTEND:20070130T173000Z
UID:TALK5754@talks.cam.ac.uk
CONTACT:Ben Green
DESCRIPTION:We will discuss how classical inequalities in analysis\, such 
 as the \nCauchy-Schwarz\, H\\"older\, Loomis-Whitney and sharp Young's con
 volution \ninequalities\, may be obtained via monotonicity formulae for so
 lutions to \nheat equations. This general approach was first used in this 
 type of \nsetting by Carlen\, Lieb and Loss\, and subsequently in joint wo
 rk with A. \nCarbery\, M. Christ and T. Tao.
LOCATION:MR4\, CMS
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