Consider the measure space ((, A, ), and suppose that A is complete with respect to Let f, g ( ( be such that (f ( g) 0 Then show that, if one of f or g is measurable, then so is the other

Question: Consider the measure space ((, A, ), and suppose that A is complete with respect to . Let f, g : ( ( be

Consider the measure space ((, A, μ), and suppose that A is complete with respect to μ. Let f, g : ( → ( be such that μ (f ( g) = 0. Then show that, if one of f or g is measurable, then so is the other.

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