Given a measure space (X, A, ). Let f be a non-negative extended real-valued A-measurable function...

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Given a measure space (X, A, µ). Let f be a non-negative extended real-valued A-measurable function on DE A with μ(D) < 0. Let Dn = {re D: f(x) > n} for ne N. Show that √ √fdµ < ∞ ⇒ Σμ(Dη) <00. nEN Given a measure space (X, A, µ). Let f be a non-negative extended real-valued A-measurable function on DE A with μ(D) < 0. Let Dn = {re D: f(x) > n} for ne N. Show that √ √fdµ < ∞ ⇒ Σμ(Dη) <00. nEN

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