# Lipschitz extension research toolkit

Family 332: Metric Markov cotype of <i>ℓ</i><sub>1</sub> and Hilbert-space Lipschitz extension. First review, 9 October 2026 Australia/Brisbane.

## Problem and potential new use

Researchers can study controlled extension of Hilbert-domain maps into L1 and use the Markov-cotype result in applicable analysis.

## Applicability and commercial boundary

The general extension result does not establish an efficient algorithm or bound construction cost for a production interpolation service.

## Initial business decision

Conditional research. Commercial demand and profitability remain hypotheses.

## Next verification action

Inspect the extension proof and identify whether a computable finite-data restricted case is available.

## Evidence scope

The catalog statement was individually reviewed. Main-paper and selected formal-scope passages were additionally inspected for families 090, 093, 094, 097, 325, 328 and 332; this record does not claim a full proof audit or independent Lean verification. Source revision `fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb`. See [source metadata](source.json).