http://courses.ics.hawaii.edu/ReviewICS241/morea/counting/InclusionExclusion2-QA.pdf Web1. This is to show that the restriction 1 ≤ p < q ≤ ∞ in the OP is not needed, and that the following result holds: Theorem A: Suppose (Ω, F, μ) is a σ -finite measure space. There exists p, q with 0 < p < q ≤ ∞ such that Lq(μ) ⊂ Lp(μ) iff μ(X) < ∞. Sufficiency follows directly from Hölder's inequality.

JsonResult parsing special chars as \\u0027 (apostrophe)

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