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math.MG2015
Trace and extension theorems for functions of bounded variation
Lukáš Malý, Nageswari Shanmugalingam, Marie Snipes
In this paper we show that every -integrable function on can be obtained as the trace of a function of bounded variation in whenever is a domain with regul…
math.MG2015
Trace theorems for functions of bounded variation in metric spaces
Panu Lahti, Nageswari Shanmugalingam
In this paper we show existence of traces of functions of bounded variation on the boundary of a certain class of domains in metric measure spaces equipped with a doubling measure…