Strichartz-Tse L^p-Integrability on the Sierpinski Gasket
Statement
Energy measures of any two nonconstant harmonic functions on the standard Sierpinski gasket are mutually absolutely continuous. Strichartz and Tse reported numerical evidence that the Radon-Nikodym densities are -integrable for . That range is confirmed: the associated quantities are uniformly bounded for arbitrary ordered pairs of nonconstant harmonic functions.
Context
A numerically observed threshold reported by Strichartz and Tse, within the analysis-on-fractals community that Strichartz largely built.
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