Absolutely Continuous
Let 
be a Positive Measure on a Sigma Algebra 
and let 
be an arbitrary(real or complex) Measure on . Then is absolutely continuous with respect to , written
, if 
for every 
for which 
.
References
Rudin, W. Functional Analysis, 2nd ed. New York: McGraw-Hill, pp. 121-125, 1991.
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