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2. (a) Show that f = f*+f. (b) Show that ff dλ| ≤ff dA. Hint: r ≤y (x≤y and -2≤y). (c) Let fn: RR be defined by √ COS(2)
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2. (a) Show that f = f*+f. (b) Show that ff dλ| ≤ff dA. Hint: r ≤y (x≤y and -2≤y). (c) Let fn: RR be defined by √ COS(2)
2. (a) Show that f = f*+f. (b) Show that ff dλ| ≤ff dA. Hint: r ≤y (x≤y and -2≤y). (c) Let fn: RR be defined by √ COS(2) if x € (0, 1) fn(x) = 1+n²2 otherwise Show that lim ff₁-dx) = 0₁ 0, 11-00 where A denotes the Lebesgue measure on R. Make sure to mention any result from the course that you use, and to state what hypotheses you need to check. la
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