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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
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