554 citations
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Showing 2011 · math.CAShow all
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math.CA2011
Comparisons of relative BV-capacities and Sobolev capacity in metric spaces
Heikki Hakkarainen, Nageswari Shanmugalingam
We study relations between the variational Sobolev 1-capacity and versions of variational BV-capacity in a complete metric space equipped with a doubling measure and supporting a w…
math.CA2011
Domination conditions for families of quasinearly subharmonic functions
Juhani Riihentaus
Domar has given a condition that ensures the existence of the largest subharmonic minorant of a given function. Later Rippon pointed out that a modification of Domar's argument giv…