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math.FA2014★ 3 cited
Tensorization of Cheeger energies, the space and the area formula for graphs
Luigi Ambrosio, Andrea Pinamonti, Gareth Speight
First we study in detail the tensorization properties of weak gradients in metric measure spaces . Then, we compare potentially different notions of Sobolev space $H^{1,1}…
math.AP2014
Weighted Sobolev Spaces on Metric Measure Spaces
Luigi Ambrosio, Andrea Pinamonti, Gareth Speight
We investigate weighted Sobolev spaces on metric measure spaces . Denoting by the weight function, we compare the space (which always concides with t…