Anonymous
6/8/2025, 12:24:06 AM
No.16691674
>>16685581
The measure theoretic results are useful in the sense that if I can demonstrate a (sigma-finite) dominating measure on a space, then I know a Radon-Nikodym density with respect to this measure will exist. It doesn't help me with actually producing this dominating measure, or defining proper Radon-Nikodym densities with respect to said dominating measure.
I need more than an existence/uniqueness proof, and actually need a mechanism to produce a viable density form or path to integration.
The measure theoretic results are useful in the sense that if I can demonstrate a (sigma-finite) dominating measure on a space, then I know a Radon-Nikodym density with respect to this measure will exist. It doesn't help me with actually producing this dominating measure, or defining proper Radon-Nikodym densities with respect to said dominating measure.
I need more than an existence/uniqueness proof, and actually need a mechanism to produce a viable density form or path to integration.