Department of Mathematics

Dr. Spyridon Dendrinos, University College Cork: "On Oberlin's and Gressman's affine invariant surface measures"

Dec 12, 2019 from 04:15 PM to 05:45 PM

LMS 4 - Raum 325 - Seminarhörsaal

Abstract:

I will present different formulations of affine invariant surface measures given by D. Oberlin and P. Gressman and explore the extent to which these are equivalent. These measures are utilised in deciding what are the most nondegenerate classes of surfaces of arbitrary dimension in Euclidean space for which one obtains the optimal L^p to L^q boundedness range for the operator given by convolution with a measure supported on these surfaces.

 

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