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math.FA2012★ 22 cited
Minimal weak upper gradients in Newtonian spaces based on quasi-Banach function lattices
Lukáš Malý
Properties of first-order Sobolev-type spaces on abstract metric measure spaces, so-called Newtonian spaces, based on quasi-Banach function lattices are investigated. The set of al…
math.FA2012★ 1 cited
Newtonian spaces based on quasi-Banach function lattices
Lukáš Malý
In this paper, first-order Sobolev-type spaces on abstract metric measure spaces are defined using the notion of (weak) upper gradients, where the summability of a function and its…