Suppose is a regular signed or complex Borel measure on . By Lebesgue-Radon-Nikodym theorem, where is the Lebesgue measure on and . How to prove ? I can only prove , but can not establish the converse.
Thanks!
Suppose is a regular signed or complex Borel measure on . By Lebesgue-Radon-Nikodym theorem, where is the Lebesgue measure on and . How to prove ? I can only prove , but can not establish the converse.
Thanks!