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math.FA2014
A short proof of Stein's universal multiplier theorem
Dario Trevisan
We give a short proof of Stein's universal multiplier theorem, purely by probabilistic methods, thus avoiding any use of harmonic analysis techniques (complex interpolation or tran…
math.FA2014★ 94 cited
Well posedness of Lagrangian flows and continuity equations in metric measure spaces
Luigi Ambrosio, Dario Trevisan
We establish, in a rather general setting, an analogue of DiPerna-Lions theory on well-posedness of flows of ODE's associated to Sobolev vector fields. Key results are a well-posed…