Weak uncertainty principle for fractals, graphs and metric measure spaces

@article{Okoudjou2007WeakUP,
  title={Weak uncertainty principle for fractals, graphs and metric measure spaces},
  author={K. Okoudjou and L. Saloff-Coste and A. Teplyaev},
  journal={Transactions of the American Mathematical Society},
  year={2007},
  volume={360},
  pages={3857-3873}
}
We develop a new approach to formulate and prove the weak uncertainty inequality, which was recently introduced by Okoudjou and Strichartz. We assume either an appropriate measure growth condition with respect to the effective resistance metric, or, in the absence of such a metric, we assume the Poincare inequality and reverse volume doubling property. We also consider the weak uncertainty inequality in the context of Nash-type inequalities. Our results can be applied to a wide variety of… Expand
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