36 citations · 112 across the 19 of their papers we have counts for
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math.FA2013
The p-Weak Gradient Depends on p
Simone Di Marino, Gareth Speight
Given a>0, we construct a weighted Lebesgue measure on R^n for which the family of non constant curves has p-modulus zero for p\leq 1+a but the weight is a Muckenhoupt A_p weight f…
math.FA2013★ 36 cited
On the duality between p-Modulus and probability measures
Luigi Ambrosio, Simone Di Marino, Giuseppe Savaré
Motivated by recent developments on calculus in metric measure spaces , we prove a general duality principle between Fuglede's notion of -modulus for…