Question: 4 Let X = Y = (0, 1) and let = be the Lebesgue measure on (0, 1). Find an example of a positive continuous

4 Let X = Y = (0, 1) and let = be the Lebesgue measure on (0, 1). Find an example of a positive continuous function f : (0, 1) (0, 1) R, such that f d( ) XY is nite but such Y fx d that innite for some x (0, 1)

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