Vol. 201, No. 2, 2001

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Ya Ryong Heo

Abstract

We show that the maximal operator

 |∫ | || j || <b>M</b>f (x) = sju in p<b>Z</b>| <b>R</b>d f(x − 2y)dμ(y)|

maps H1 into L1, under certain assumptions on the decay of μ and the geometry of supp(μ).

Authors
Ya Ryong Heo
Department of Mathematics
Pohang University of Science and Technology
Pohang 790-784
Korea