Differentiable measure

A differentiable measure is a concept that arises in the context of analysis and measure theory, particularly in the study of measures on Euclidean spaces or more general topological spaces. The definition can vary slightly based on the context, but generally, a measure \(\mu\) on a measurable space is said to be differentiable if it has a derivative almost everywhere with respect to another measure, typically the Lebesgue measure.