Testing conditions for multilinear Radon-Brascamp-Lieb inequalities

The partial differential equations and analysis seminar is the research seminar associated with the applied and nonlinear analysis, and the analysis and geometry programs.

schedule Date & time
29 Mar 2022 1:30pm - 29 Mar 2022 2:30pm
person Speaker


Philip Gressman (University of Pennsylvania)
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Abstract: We will discuss a new necessary and sufficient testing condition for $L^p$-boundedness of a class of multilinear functionals which includes both the Brascamp-Lieb inequalities and generalized Radon transforms associated to algebraic incidence relations. The testing condition involves bounding the average of an inverse power of certain Jacobian-type quantities along fibers of associated projections and covers many widely-studied special cases, including convolution with measures on nondegenerate hypersurfaces or on nondegenerate curves.

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