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math.FA2013
Sharp weighted Sobolev and Gagliardo-Nirenberg inequalities on half space via mass transport and consequences
Van Hoang Nguyen
By adapting the mass transportation technique of Cordero-Erausquin, Nazaret and Villani, we obtain a family of sharp Sobolev and Gagliardo-Nirenberg (GN) inequalities on the half s…
math.FA2013★ 5 cited
Dimensional variance inequalities of Brascamp-Lieb type and a local approach to dimensional Prékopa's theorem
Van Hoang Nguyen
We give a new approach, inspired by Hörmander's -method, to weighted variance inequalities which extend results obtained by Bobkov and Ledoux. It provides in particular a loca…