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The Burgess Davis inequalities via Fefferman’s inequality. (English) Zbl 0294.60037


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[1] Burkholder, D. &Gundy, R., “Extrapolation and interpolation of quasilinear operators on martingales{”,Acta Math. V 124 (1970), p. 249–304.} · Zbl 0223.60021
[2] –,–,-&Silverstein, M., “A maximal function characterization of the class 237-1{”,Am. Math. Soc. Transactions V. 157, June 1971, p. 137–153.}
[3] Davis, B., “On the integrability of the martingale square function{”,Israel Journal of Math. V. 8, No. 2 (1970), p. 187–190.} · Zbl 0211.21902
[4] Fefferman, C., “Characterizations of Bounded Mean Oscillation{”,Am Math. Soc. Bulletin V. 77, No. 4, p. 587–588.} · Zbl 0229.46051
[5] Getoor, R., & Sharpe, M., “Conformal martingales{” Inventiones Math. July 1972.} · Zbl 0268.60048
[6] John, F., &Nirenberg, L., “On functions of bounded mean oscillation{”,Comm. Pure & Appl. Math. V. 14 (1961), p. 785–799.} · Zbl 0106.08104
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