4. Let X be a Borel set in R and let f: XR be a Lebesgue...

Transcribed Image Text:

4. Let X be a Borel set in R and let f: XR be a Lebesgue measurable function. Prove that there exists a Borel measurable function g: X R such that f = ga.e. in X. 4. Let X be a Borel set in R and let f: XR be a Lebesgue measurable function. Prove that there exists a Borel measurable function g: X R such that f = ga.e. in X.