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References
C. Bennett and R. Sharpley,Interpolation of Operators, Pure and Applied Mathematics, vol. 129. Academic Press (New York, 1988).
J. Bergh and J. Löfström,Interpolation Spaces, an Introduction. Springer (Berlin, Heidelberg, New York, 1976).
K. Bichteler, Stochastic integration andL p-theory of semimartingales,Annals of Prob.,9 (1981), 49–89.
O. Blasco, Interpolation betweenH 1 B0 andL p B1 ,Studia Math.,92 (1989), 205–210.
O. Blasco and Q. Xu, Interpolation between vector-valued Hardy spaces,J. Func. Anal.,102 (1991), 331–359.
D. L. Burkholder, Distribution function inequalities for martingales,Annals of Prob.,1 (1973), 19–42.
D. L. Burkholder and R. F. Gundy, Extrapolation and interpolation of quasi-linear operators on martingales,Acta Math.,124 (1970), 249–304.
C. Dellacherie and P.-A. Meyer,Probabilities and Potential. A, North-Holland Math. Studies 29, North-Holland (1978).
C. Dellacherie and P.-A. Meyer,Probabilities and Potential. B, North-Holland Math. Studies 72, North-Holland (1982).
C. Fefferman, N. M. Riviere and Y. Sagher, Interpolation betweenH p spaces: the real method,Trans. Amer. Math. Soc.,191 (1974), 75–81
C. Fefferman and E. M. Stein,H p spaces of several variables,Acta Math.,129 (1972), 137–194.
A. M. Garsia,Martingale Inequalities, Seminar Notes on Recent Progress. Math. Lecture notes series. Benjamin Inc. (New York, 1973).
R. Hanks, Interpolation by the real method between BMO,L α (0<α<∞) andH α (0<α<∞),Indiana Univ. Math. J.,26 (1977), 679–689.
S. Janson and P. Jones, Interpolation betweenH p spaces: the complex method,J. Func. Analysis,48 (1982), 58–80.
M. Metivier,Semimartingales, a Course on Stochastic Processes, de Gruyter Studies in Math. 2, Walter de Gruyter (1982).
P.-A. Meyer, Un cours les integrales stochastiques,Seminaire de Probabilitès X (Lect. Notes Math., vol. 511, pp. 245–400), Springer (Berlin, Heidelberg, New York, 1976).
M. Milman, On interpolation of martingaleL p spaces,Indiana Univ. Math. J.,30 (1981), 313–318.
M. Pratelli, Sur certains espaces de martingales localement de carre integrable, Seminaire de Probabilitès X (Lect. Notes Math., vol. 511, pp. 401–413), Springer (Berlin, Heidelberg, New York, 1976).
N. M. Riviere and Y. Sagher, Interpolation betweenL ∞ andH 1, the real method,J. Func. Analysis,14, (1973), 401–409.
F. Schipp, W. R. Wade, P. Simon and J. Pál,Walsh Series: An Introduction to Dyadic Harmonic Analysis, Akadémiai Kiadó (Budapest, 1990).
F. Weisz, Interpolation between martingale Hardy and BMO spaces, the real method,Bull. Sc. math.,116 (1992), 145–158.
F. Weisz, Interpolation between two-parameter martingale Hardy spaces, the real method,Bull. Sc. math.,115 (1991), 253–264.
F. Weisz, Martingale BMO spaces with continuous time,Analysis Math. (to appear).
F. Weisz, Martingale Hardy spaces for 0<p≦1,Probab. Th. Rel. Fields,84 (1990), 361–376.
F. Weisz, Martingale Hardy spaces with continuous time. Probability Theory and Applications,Essays to the Memory of József Mogyoródi. Eds.: J. Galambos, I. Kátai, Kluwer Academic Publishers (Dordrecht, Boston, London, 1992), pp. 47–75.
F. Weisz,Martingale Hardy Spaces and their Applications in Fourier-analysis. Lecture Notes in Math. vol. 1568, Springer (Berlin, Heidelberg, New York, 1994).
T. H. Wolff,A Note on Interpolation Spaces (Lect. Notes Math., vol. 908, pp. 199–204) Springer (Berlin, Heidelberg, New York, 1982).
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To Professor K. Tandori on his seventieth birthday
This research was partly supported by the Hungarian Scientific Research Funds No. F4189.
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Weisz, F. Interpolation between continuous parameter martingale spaces: The real method. Acta Math Hung 68, 37–54 (1995). https://doi.org/10.1007/BF01874434
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DOI: https://doi.org/10.1007/BF01874434