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Strichartz-Tse $L^p$-Integrability on the Sierpinski Gasket

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 $L^p$-integrable for $1 < p < \log 15 / \log 9$. That range is confirmed: the associated quantities are uniformly bounded for arbitrary ordered pairs of nonconstant harmonic functions.

Exact FrontierDelta

Prior state unknown→proved

Scope and record

Occurred: Jul 24, 2026

Delta type: SOURCE CLAIM

Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-assisted. Imported under CC BY 4.0.

Canonical aliases: Strichartz-Tse $L^p$-Integrability on the Sierpinski Gasket · Sierpinski energy densities

Confidence: Not scored

Registry verification: unreviewed · preprint · resolved

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Attribution

VibeMathed
registry · event recorded by

Konstantinos Tsougkas
human · human collaborator

GPT-5.6
model · ai model contributor · OpenAI

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This event attributed to Konstantinos Tsougkas

This event attributed to GPT-5.6

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