Geodesic
Sobolev and isoperimetric inequalities for Dirichlet forms on homogeneous spaces
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 6 (1995) no. 1, pp. 37-44

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

We prove local embeddings of Sobolev and Morrey type for Dirichlet forms on spaces of homogeneous type. Our results apply to some general classes of selfadjoint subelliptic operators as well as to Dirichlet operators on certain self-similar fractals, like the Sierpinski gasket. We also define intrinsic BV spaces and perimeters and prove related isoperimetric inequalities. 
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     author = {Biroli, Marco and Mosco, Umberto},
     title = {Sobolev and isoperimetric inequalities for {Dirichlet} forms on homogeneous spaces},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
     pages = {37--44},
     publisher = {mathdoc},
     volume = {Ser. 9, 6},
     number = {1},
     year = {1995},
     zbl = {0837.31006},
     mrnumber = {MR1340280},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RLIN_1995_9_6_1_a4/}
}
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Biroli, Marco; Mosco, Umberto. Sobolev and isoperimetric inequalities for Dirichlet forms on homogeneous spaces. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 6 (1995) no. 1, pp. 37-44. http://geodesic.mathdoc.fr/item/RLIN_1995_9_6_1_a4/