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Parabolic maximal functions associated with a distribution. II. (English) Zbl 0355.46021


MSC:

46F10 Operations with distributions and generalized functions
46J15 Banach algebras of differentiable or analytic functions, \(H^p\)-spaces
46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
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References:

[1] Burkholder, D. L.; Gundy, R. F.; Silverstein, M. L., A maximal function characterization of the class \(H^p\), Trans. Amer. Math. Soc., 157, 137-153 (1971) · Zbl 0223.30048
[2] Calderón, A. P., Intermediate spaces and interpolation, the complex method, Studia Math, 24, 113-190 (1964) · Zbl 0204.13703
[3] Calderón, A. P.; Torchinsky, A., Parabolic maximal functions associated with a distribution, Advances in Math, 16, 1-64 (1975) · Zbl 0315.46037
[4] Coifman, R. R., A real variable characterization of \(H^p\), Studia Math, 51, 269-274 (1974) · Zbl 0289.46037
[5] Duren, P. L.; Romberg, B. W.; Shields, A. L., Linear functionals on \(H^p\) spaces with \(0 <p < 1\), J. Reine Angew. Math., 238, 32-60 (1969) · Zbl 0176.43102
[6] Fefferman, C.; Rivière, N. M.; Sagher, Y., Interpolation between \(H^p\) spaces: The real method, Trans. Amer. Math. Soc., 191, 70-81 (1974) · Zbl 0285.41006
[7] Fefferman, C.; Stein, E. M., \(H^p\) spaces of several variables, Acta Math, 129, 137-193 (1972) · Zbl 0257.46078
[8] Hedgberg, L. I., On certain convolution inequalities, (Proc. Amer. Math. Soc., 36 (1972)), 505-510
[9] Homstedt, T., Interpolation of quasi-normed spaces, Math. Scand., 26, 177-199 (1970) · Zbl 0193.08801
[10] Littman, W., Multipliers in \(L^p\) and interpolation, Bull. Amer. Math. Soc., 71, 764-766 (1965) · Zbl 0156.36504
[11] Peetre, J., Applications de la théorie des espaces d’interpolation dans l’Analyse Harmonique, Ricerche Mat, 15, 3-36 (1966) · Zbl 0154.15302
[12] Stein, E. M., Interpolation of linear operators, Trans. Amer. Math. Soc., 83, 482-492 (1956) · Zbl 0072.32402
[13] Stein, E. M., Singular Integrals and Differentiability Properties of Functions (1970), Princeton Univ. Press · Zbl 0207.13501
[14] Stein, E. M.; Weiss, G., On the interpolation of analytic families of operators acting on \(H^p\) spaces, Tôhoku Math. J., 9, 318-339 (1957) · Zbl 0083.34201
[15] Torchinsky, A., Singular integrals in the spaces Λ(B,X), Studia Math, 47, 165-190 (1973) · Zbl 0256.44004
[16] Zygmund, A., Trigonometric Series (1968), Cambridge Univ. Press: Cambridge Univ. Press Princeton, N.J. · JFM 58.0296.09
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