Geodesic
Nonlinear Energy Forms and Lipschitz Spaces on the Koch Curve
Journal of convex analysis, Tome 9 (2002) no. 1, pp. 245-258
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We consider the nonlinear convex energy forms ${\Cal E}^(p)$ on the Koch curve $K$ and we prove that the corresponding domains coincide with the spaces {\it Lip}$_{\alpha, D_f} (p, \infty, K)$. Then we give a precise interpretation of the smoothness index $\alpha$ in terms of the structural constants of the fractal.
Mots-clés : Nonlinear convex energy forms, fractals, Lipschitz spaces 
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     author = {R. Capitanelli and M. R. Lancia},
     title = {Nonlinear {Energy} {Forms} and {Lipschitz} {Spaces} on the {Koch} {Curve}},
     journal = {Journal of convex analysis},
     pages = {245--258},
     year = {2002},
     volume = {9},
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     url = {http://geodesic.mathdoc.fr/item/JCA_2002_9_1_JCA_2002_9_1_a11/}
}
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R. Capitanelli; M. R. Lancia. Nonlinear Energy Forms and Lipschitz Spaces on the Koch Curve. Journal of convex analysis, Tome 9 (2002) no. 1, pp. 245-258. http://geodesic.mathdoc.fr/item/JCA_2002_9_1_JCA_2002_9_1_a11/