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Parabolic maximal functions associated with a distribution. (English) Zbl 0315.46037

##### MSC:
 46F10 Operations with distributions and generalized functions 47D03 Groups and semigroups of linear operators 30D55 $$H^p$$-classes (MSC2000) 46J15 Banach algebras of differentiable or analytic functions, $$H^p$$-spaces 32A30 Other generalizations of function theory of one complex variable (should also be assigned at least one classification number from Section 30-XX)
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##### References:
 [1] Burkholder, D.L; Gundy, R.F, Distribution function inequalities for the area integral, Stud. math., 44, 527-544, (1972) · Zbl 0219.31009 [2] Burkholder, D.L; Gundy, R.F; Silverstein, M.L, A maximal function characterization of the class Hp, Trans. amer. math. soc., 157, 137-153, (1971) · Zbl 0223.30048 [3] Calderón, A.P, Algebras of singular integral operators, (), 18-55 [4] Calderón, A.P, Estimates for singular integrals in terms of maximal functions, Stud. math., 44, 563-582, (1972) · Zbl 0222.44007 [5] Calderón, A.P; Zygmund, A, A note on the interpolation of sublinear operations, Amer. J. math., 78, 282-288, (1956) · Zbl 0071.33601 [6] Fefferman, C; Stein, E.M, Hp spaces of several variables, Acta math., 129, 137-193, (1972) · Zbl 0257.46078 [7] de Guzmán, M, Singular integrals with generalized homogeneity, Rev. acad. sci. (Spain), 44, 77-137, (1970) · Zbl 0189.15002 [8] Hardy, G.H; Littlewood, J.E, Some properties of fractional integrals, II, Math. Z., 34, 403-439, (1932) · Zbl 0003.15601 [9] Rivière, N, Singular integrals and multiplier operators, Arkiv mat., 9, 243-278, (1971) · Zbl 0244.42024 [10] Shapiro, H.S, A Tauberian theorem related to approximation theory, Acta math., 120, 279-292, (1968) · Zbl 0165.13801 [11] Stein, E.M, Singular integrals and differentiability properties of functions, (1970), Princeton University Press Princeton, NJ · Zbl 0207.13501 [12] Torchinsky, A, Singular integrals in the spaces λ(B, X), Stud. math., 47, 165-190, (1972) · Zbl 0256.44004 [13] Zygmund, A, Trigonometric series, (1968), Cambridge Univ. Press London · JFM 58.0296.09
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