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math.MG2011★ 1 cited
Rigidity of Derivations in the Plane and in Metric Measure Spaces
Jasun Gong
Following Weaver we study generalized differential operators, called (metric) derivations, and their linear algebraic properties. In particular, for k = 1, 2 we show that measures…
math.MG2011★ 2 cited
Measurable Differentiable Structures on Doubling Metric Spaces
Jasun Gong
On metric spaces equipped with doubling measures, we prove that a differentiability theorem holds for Lipschitz functions if and only if the space supports nontrivial (metric) deri…