75 citations · 177 across the 13 of their papers we have counts for
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math.AP2016
The Stein-Tomas inequality in trace ideals
Rupert L. Frank, Julien Sabin
The goal of this review is to explain some recent results regarding generalizations of the Stein-Tomas (and Strichartz) inequalities to the context of trace ideals (Schatten spaces…
math.AP2016★ 11 cited
Spectral cluster bounds for orthonormal systems and oscillatory integral operators in Schatten spaces
Rupert L. Frank, Julien Sabin
We generalize the spectral cluster bounds of Sogge for the Laplace-Beltrami operator on compact Riemannian manifolds to systems of orthonormal functions. The optimality of th…
math.CA2016
Maximizers for the Stein-Tomas inequality
Rupert L. Frank, Elliott H. Lieb, Julien Sabin
We give a necessary and sufficient condition for the precompactness of all optimizing sequences for the Stein-Tomas inequality. In particular, if a well-known conjecture about the…