11 lines
402 B
TeX
11 lines
402 B
TeX
\section{Absolutely Continuous}
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\label{section:absolutely-continuous-measure}
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\begin{definition}[Absolutely Continuous]
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\label{definition:absolutely-continuous}
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Let $(X, \cm)$ be a measurable space and $\mu, \nu$ be signed/vector measures on $X$, then $\nu$ is \textbf{absolutely continuous} with respect to $\mu$, denoted $\nu \ll \mu$, if every $\mu$-null set is $\nu$-null.
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\end{definition}
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