Non-separability of the Lipschitz distance
نویسندگان
چکیده
منابع مشابه
Non-separability of the Lipschitz distance
Let X be a compact metric space andMX be the set of isometry classes of compact metric spaces Y such that the Lipschitz distance dL(X , Y) is finite. We show that (MX , dL) is not separable when X is a closed interval, or an infinite union of shrinking closed intervals.
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چکیده ندارد.
15 صفحه اولThe Martin Boundary in Non-lipschitz Domains
The Martin boundary with respect to the Laplacian and with respect to uniformly elliptic operators in divergence form can be identified with the Euclidean boundary in Cγ domains, where γ(x) = bx log log(1/x)/ log log log(1/x), b small. A counterexample shows that this result is very nearly sharp.
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics for Industry
سال: 2015
ISSN: 2198-4115
DOI: 10.1186/s40736-015-0013-5