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1. Let EC Rd be a measurable set, and 1 p x. Suppose {fn}, {gn} are two sequences in LP(E). fnf in LP(E), and

1. Let EC Rd be a measurable set, and 1 p x. Suppose {fn}, {gn} are two sequences in LP(E). fnf in LP(E), and 9ng in LP(E). Prove: hn= max{fn. 9n} also converges in L"(E). 2. Let EC Rd be a measurable set, and 1 p

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