Burkholder, D. L. An elementary proof of an inequality of R. E. A. C. Paley. (English) Zbl 0566.46014 Bull. Lond. Math. Soc. 17, 474-478 (1985). See the preview in Zbl 0549.46015. Cited in 12 Documents 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 Keywords:monotone basis; contractive projections; Haar system; unconditional basis; best constant Citations:Zbl 0504.46022; Zbl 0549.46015 PDFBibTeX XMLCite \textit{D. L. Burkholder}, Bull. Lond. Math. Soc. 17, 474--478 (1985; Zbl 0566.46014) Full Text: DOI