Geodesic
Nonlinear Energy Forms and Lipschitz Spaces on the Koch Curve
Journal of convex analysis, Tome 9 (2002) no. 1, pp. 245-258.

Voir la notice de l'article provenant de la source Heldermann Verlag

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 
@article{JCA_2002_9_1_JCA_2002_9_1_a11,
     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},
     publisher = {mathdoc},
     volume = {9},
     number = {1},
     year = {2002},
     url = {http://geodesic.mathdoc.fr/item/JCA_2002_9_1_JCA_2002_9_1_a11/}
}
TY  - JOUR
AU  - R. Capitanelli
AU  - M. R. Lancia
TI  - Nonlinear Energy Forms and Lipschitz Spaces on the Koch Curve
JO  - Journal of convex analysis
PY  - 2002
SP  - 245
EP  - 258
VL  - 9
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JCA_2002_9_1_JCA_2002_9_1_a11/
ID  - JCA_2002_9_1_JCA_2002_9_1_a11
ER  - 
%0 Journal Article
%A R. Capitanelli
%A M. R. Lancia
%T Nonlinear Energy Forms and Lipschitz Spaces on the Koch Curve
%J Journal of convex analysis
%D 2002
%P 245-258
%V 9
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JCA_2002_9_1_JCA_2002_9_1_a11/
%F JCA_2002_9_1_JCA_2002_9_1_a11
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/