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SUMMARY:An extrapolation principle for the Fourier operator - Miquel Sauce
 do (Centre de Recerca Matemàtica (CRM)\, Barcelona)
DTSTART:20260129T150000Z
DTEND:20260129T160000Z
UID:TALK243256@talks.cam.ac.uk
CONTACT:Georg Maierhofer
DESCRIPTION:In this talk we will discuss some situations in which a Fourie
 r inequality (including the classical Hausdorff-Young and Hardy-Littlewood
  estimates) can be extended to a broader class of operators. We will also 
 see how this can be used to solve two classical problems: the Bernstein pr
 oblem of absolute convergence of Fourier series and the characterization o
 f Fourier inequalities with monotonic weights.
LOCATION:Centre for Mathematical Sciences\, MR14
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