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math.CA2018
A symmetrization inequality shorn of symmetry
Michael Christ, Dominique Maldague
An inequality of Brascamp-Lieb-Luttinger and of Rogers states that among subsets of Euclidean space of specified Lebesgue measures, balls centered at the origin are…
math.CA2018
Inequalities of Riesz-Sobolev type for compact connected Abelian groups
Michael Christ, Marina Iliopoulou
A version of the Riesz-Sobolev convolution inequality is formulated and proved for arbitrary compact connected Abelian groups. Maximizers are characterized and a quantitative stabi…