Vol. 121, No. 2, 1986

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On the radial maximal function of distributions

Akihito Uchiyama

Vol. 121 (1986), No. 2, 467–483
Abstract

We show that if the radial maximal function of a distribution f ∈𝒟(Rn)belongs to Lp(Rn), then f belongs to Hp(Rn). This gives an affirmative answer to the question posed by Aleksandrov and Havin.

Mathematical Subject Classification 2000
Primary: 42B25
Secondary: 46F10
Milestones
Received: 27 July 1984
Published: 1 February 1986
Authors
Akihito Uchiyama