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An elementary proof of an inequality of R. E. A. C. Paley. (English) Zbl 0566.46014

See the preview in Zbl 0549.46015.

MSC:

46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
42C10 Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.)
60G42 Martingales with discrete parameter
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