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Lipschitz continuity of copulas w.r.t. -norms

✍ Scribed by B. De Baets; H. De Meyer; R. Mesiar


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
759 KB
Volume
72
Category
Article
ISSN
0362-546X

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πŸ“œ SIMILAR VOLUMES


Automatic Continuity of Lipschitz Algebr
✍ B. Pavlovic πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 980 KB

For a compact metric space \((K, d), \alpha \in(0,1]\) and \(f \in C(K)\), let \(p_{x}(f)=\) \(\sup \left\{|f(t)-f(s)| d(t, s)^{x}: t, s \in K\right\}\). The set \(\operatorname{Lip}_{x}(K, d)=\left\{f \in C(K): p_{x}(f)<\infty\right\}\) with the norm \(\|f\|_{x}=|f|_{\kappa}+p_{x}(f)\) is a Banach