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math.AP2014
Wolfe's theorem for weakly differentiable cochains
Camille Petit, Kai Rajala, Stefan Wenger
A fundamental theorem of Wolfe isometrically identifies the space of flat differential forms of dimension in with the space of flat -cochains, that is, the du…
math.AP2012★ 1 cited
An upper gradient approach to weakly differentiable cochains
Kai Rajala, Stefan Wenger
The aim of the present paper is to define a notion of weakly differentiable cochain in the generality of metric measure spaces and to study basic properties of such cochains. Our c…
math.AP2007
Sharp exponential integrability for traces of monotone Sobolev functions
Pekka Pankka, Pietro Poggi-Corradini, Kai Rajala
We use geometric methods to obtain a sharp exponential integrability result for boundary traces of monotone Sobolev functions defined on the unit ball.