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  • Burkholder, D. L. A geometrical characterization of Banach spaces in which martingale difference sequences are unconditional. Ann. Probab. 9 (1981), no. 6, 997--1011. MR0632972
  • Burkholder, D. L. Boundary value problems and sharp inequalities for martingale transforms. Ann. Probab. 12 (1984), no. 3, 647--702. MR0744226
  • Burkholder, Donald L. Martingales and Fourier analysis in Banach spaces. Probability and analysis (Varenna, 1985), 61--108, Lecture Notes in Math., 1206, Springer, Berlin, 1986. MR0864712
  • Burkholder, Donald L. Explorations in martingale theory and its applications. École d'Été de Probabilités de Saint-Flour XIX—1989, 1--66, Lecture Notes in Math., 1464, Springer, Berlin, 1991. MR1108183
  • Burkholder, D. L.; Gundy, R. F. Extrapolation and interpolation of quasi-linear operators on martingales. Acta Math. 124 (1970), 249--304. MR0440695
  • Geiss, Stefan. ${\rm BMO}_ \psi$-spaces and applications to extrapolation theory. Studia Math. 122 (1997), no. 3, 235--274. MR1434474
  • Lee, Jinsik Mok. On Burkholder's biconvex-function characterization of Hilbert spaces. Proc. Amer. Math. Soc. 118 (1993), no. 2, 555--559. MR1159174
  • Osękowski, Adam. Inequalities for dominated martingales. Bernoulli 13 (2007), no. 1, 54--79. MR2307394
  • Osȩkowski, Adam. On relaxing the assumption of differential subordination in some martingale inequalities. Electron. Commun. Probab. 16 (2011), 9--21. MR2753300

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