Construction of self-similar energy forms and singularity of Sobolev spaces on Laakso-type fractal spaces

Riku Anttila, Sylvester Eriksson-Bique, Ryosuke Shimizu

We construct self-similar $p$-energy forms ${\mathcal{E}}_p$ on a rich class of \emph{Laakso-type fractal spaces} and study the properties of the associated Sobolev spaces $\mathscr{…