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 as normalized limits of discretized $p$-energies on a rich class of Laakso-type fractal spaces. Collectively, we refer to them as IGS-fra…