Abstract

We study the dependence of the Hausdorff measure Hd1\jcadelimitedA _d on the distance dd. We show that the uniform convergence of djd_j to dd is equivalent to the Γ\Gamma convergence of Hdj1\jcadelimitedA _{d_j} to Hd1\jcadelimitedA _d with respect to the Hausdorff convergence on compact connected subsets. We also consider the case when distances are replaced by semi-distances

Author information

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Giuseppe Buttazzo

Dip. di Matematica, Università di Pisa, Via Buonarroti 2, 56127 Pisa, Italy

buttazzo@dm.unipi.it

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Suggested citation

G. Buttazzo, B. Schweizer. “Γ Convergence of Hausdorff Measures.” Journal of Convex Analysis 12 (2005), No. 1, 239–253. https://doi.org/10.68381/jca12017

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Published by Heldermann Verlag, 2005. Rights now held by Banach Press LLC.