119 citations · 317 across the 29 of their papers we have counts for
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Maximizers of Rogers-Brascamp-Lieb-Luttinger functionals in higher dimensions
Michael Christ, Kevin O'Neill
A symmetrization inequality of Rogers and of Brascamp-Lieb-Luttinger states that for a certain class of multilinear integral expressions, among tuples of sets of prescribed Lebesgu…
Equality in Brascamp-Lieb-Luttinger Inequalities
Michael Christ
An inequality of Brascamp-Lieb-Luttinger generalizes the Riesz-Sobolev inequality, stating that certain multilinear functionals, acting on nonnegative functions of one real variabl…
A sharpened Riesz-Sobolev inequality
Michael Christ
The Riesz-Sobolev inequality provides an upper bound, in integral form, for the convolution of indicator functions of subsets of Euclidean space. We formulate and prove a sharper f…
On Young's inequality for Heisenberg groups
Michael Christ
Young's convolution inequality provides an upper bound for the convolution of functions in terms of norms. It is known that for certain groups, including Heisenberg groups, t…