Keywords
- Maximal Function
- Biharmonic Function
- Hardy Class
- Dimensional Lebesgue Measure
- Dimensional Brownian Motion
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References
Burkholder, D.L., Gundy, R.F., Extrapolation and interpolation of quasi-linear operators on martingales, Acta Math. 124 (1970) 249–304.
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.
Fefferman, C., Stein, E.M., Hp spaces of several variables, Acta Math. 129 (1972) 137–193.
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.
Gundy, R.F., Stein, E.M. Hp theory for the polydisc, Proc.Nat. Acad. Sciences, USA, to appear.
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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