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Maximal function characterization of Hp for the bidisc

Part of the Lecture Notes in Mathematics book series (LNM,volume 781)

Keywords

  • Maximal Function
  • Biharmonic Function
  • Hardy Class
  • Dimensional Lebesgue Measure
  • Dimensional Brownian Motion

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References

  1. Burkholder, D.L., Gundy, R.F., Extrapolation and interpolation of quasi-linear operators on martingales, Acta Math. 124 (1970) 249–304.

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  2. Burkholder, D.L., Gundy, R.F., and Silverstein, M.L. A maximal function characterization of the Class Hp, Trans. Amer. Math. Soc. 157 (1971), 137–153.

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  3. Fefferman, C., Stein, E.M., Hp spaces of several variables, Acta Math. 129 (1972) 137–193.

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  4. Gundy, R.F. Inégalitiés pour martingales à un et deux indices: L'espace Hp. L'Ecole d'Eté de St. Flour, 1978, Lecture Notes, Springer-Verlag. To appear.

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  5. Gundy, R.F., Stein, E.M. Hp theory for the polydisc, Proc.Nat. Acad. Sciences, USA, to appear.

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  6. M.P. Malliavin and P. Malliavin, Intégrales de Lusin-Calderón pour les fonctions biharmoniques, Bull. Sci. Math. 101 (1977), 357–384.

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© 1980 Springer-Verlag

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Gundy, R.F. (1980). Maximal function characterization of Hp for the bidisc. In: Petridis, N., Pichorides, S.K., Varopoulos, N. (eds) Harmonic Analysis Iraklion 1978. Lecture Notes in Mathematics, vol 781. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0097647

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  • DOI: https://doi.org/10.1007/BFb0097647

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09756-3

  • Online ISBN: 978-3-540-38632-2

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