Extensions and their Minimizations on the Sierpinski Gasket

Pak Hin Li, Nicholas Ryder, Robert S. Strichartz +1

We study the extension problem on the Sierpinski Gasket ($SG$). In the first part we consider minimizing the functional ${\mathcal{E}}_{\lambda }(f)=\mathcal{E}(f,f)+\lambda \int f^{2}d\mu$ with p…