Malý, J.; Mosco, U. Remarks on measure-valued Lagrangians on homogeneous spaces. (English) Zbl 0957.46027 Ric. Mat. 48, Suppl., 217-231 (1999). The main aim of the authors is to present the proof of Sobolev inequalities on spaces of homogeneous type, for measure-valued Lagrangians that may not have pointwise defined densities (as in the fractal case). The authors use an approach based on Riesz potential estimates. Reviewer: Vladimir Ďurikovič (Bratislava) Cited in 7 Documents MSC: 46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems 31C25 Dirichlet forms 35J70 Degenerate elliptic equations Keywords:Dirichlet forms; variational fractals; Sobolev inequalities; spaces of homogeneous type; measure-valued Lagrangians; Riesz potential estimates PDF BibTeX XML Cite \textit{J. Malý} and \textit{U. Mosco}, Ric. Mat. 48, 217--231 (1999; Zbl 0957.46027) OpenURL