Question: Consider the space LP ([0, 1]) where p = (1, ]. (a) Prove that fp is increasing in p for any bounded measurable function

Consider the space LP ([0, 1]) where p = (1, ]. (a)

Consider the space LP ([0, 1]) where p = (1, ]. (a) Prove that fp is increasing in p for any bounded measurable function f. (b) Prove that ||f||p f when p0.

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