References
Burkholder, D. L. & Gundy, R. F., Distribution function inequalities for the area integral. To appear in Studia Math.
Burkholder, D. L., Gundy, R. F. &Silverstein, M. L., A maximal function characterization of the classH p.Trans. Amer. Math. Soc., 157 (1971), 137–153.
Calderón, A. P., Commutators of singular integral operators.Proc. Nat. Acad. Sci. U.S.A., 53 (1965), 1092–1099.
—, Intermediate spaces and interpolation, the complex method.Studia Math., 24 (1964), 113–190.
Calderón, A. P. &Zygmund, A., On the existence of certain singular integrals.Acta Math., 88 (1952), 85–139.
—, On higher gradients of harmonic functions.Studia Math., 24 (1964), 211–226.
Duren, P. L., Romberg, B. W. &Shields, A. L., Linear functionals onH p spaces with 0<p<1.J. Reine Angew. Math., 238 (1969), 32–60.
Eymard, P., AlgèbresA p et convoluteurs deL p. Sém. Bourbaki, 367, 1969/70.
Fefferman, C. L., Inequalities for strongly singular convolution operators.Acta Math., 124 (1970), 9–36.
—, Characterizations of bounded mean oscillation.Bull. Amer. Math. Soc., 77 (1971), 587–588.
Fefferman, C. L., to appear.
Flett, T. M., On the rate of growth of mean values of holomorphic and harmonic functions.Proc. London Math. Soc. 20 (1970), 748–768.
Hardy, G. H. &Littlewood, J. E., Some properties of conjugate functions.J. Reine Angew. Math., 167 (1932), 405–423.
John, F. &Nirenberg, L., On functions of bounded mean oscillation.Comm. Pure Appl. Math., 14 (1961), 415–426.
Hirschman, I. I., Jr., Multiplier transformations I.Duke Math. J., 26 (1956), 222–242.
Hörmander, L.,L p estimates for (pluri-)subharmonic functions.Math. Scand., 20 (1967), 65–78.
Segovia, C., On the area function of Lusin.Studia Math., 33 (1969), 312–343.
Spanne, S., Sur l'interpolation entre les espacesL pΦ k .Ann. Scuola Norm. Sup. Pisa, 20 (1966), 625–648.
Stein, E. M., A maximal function with applications to Fourier series.Ann. of Math., 68 (1958), 584–603.
—, On the functions of Littlewood-Paley, Lusin and Marcinkiewicz.Trans. Amer. Math. Soc., 88 (1958), 430–466.
—, Singular integrals, harmonic functions and differentiability properties of functions of several variables.Proc. Symp. in Pure Math., 10 (1967), 316–335.
Stein, E. M.,Singular integrals and differentiability properties of functions. Princeton, 1970.
—,L p boundedness of certain convolution operators.Bull. Amer. Math. Soc., 77 (1971), 404–405.
Stein, E. M. &Weiss, G., On the interpolation of analytic families of operators acting onH p spaces.Tôhoku Math. J., 9 (1957), 318–339.
—, On the theory of harmonic functions of several variables I. The theory ofH p spaces.Acta Math., 103 (1960), 25–62.
Stein, E. M. & Weiss, G.,Introduction to Fourier analysis on Euclidean spaces. Princeton, 1971.
—, Generalization of the Cauchy-Riemann equations and representations of the rotation group.Amer. J. Math., 90 (1968), 163–196.
Wainger, S., Special trigonometric series ink dimensions.Mem. Amer. Math. Soc., 59 (1965).
Zygmund, A.,Trigonometric series. Cambridge, 1959.
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Fefferman, C., Stein, E.M. H p spaces of several variables. Acta Math. 129, 137–193 (1972). https://doi.org/10.1007/BF02392215
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DOI: https://doi.org/10.1007/BF02392215