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math.FA2026
A Functorial Approach to Multi-Space Interpolation with Function Parameters
Thomas Lamby, Samuel Nicolay
We introduce an extension of interpolation theory to more than two spaces by employing a functional parameter, while retaining a fully functorial and systematic framework. This app…
math.FA2025
Rademacher's Theorem for Calderon-Zygmund-type Spaces
Thomas Lamby
Rademacher's Theorem can be interpreted as an almost-everywhere \emph{little- improvement principle}: if a function admits a uniform pointwise first-order Lipschitz control at e…