Calculus of Variations and Geometric Measure Theory

Gian Maria Dall'Ara - D. Trevisan

Uncertainty inequalities on groups and homogeneous spaces via isoperimetric inequalities

created by trevisan on 10 Jun 2017



Inserted: 10 jun 2017

Year: 2013

ArXiv: 1308.1069 PDF


We prove a family of $L^p$ uncertainty inequalities on fairly general groups and homogeneous spaces, both in the smooth and in the discrete setting. The crucial point is the proof of the $L^1$ endpoint, which is derived from a general weak isoperimetric inequality.