Vol. 201, No. 2, 2001

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An endpoint estimate for some maximal operators associated to submanifolds of low codimension

Ya Ryong Heo

Vol. 201 (2001), No. 2, 323–338
Abstract

We show that the maximal operator

           |∫                |
||         j       ||
ℳf (x) = sju∈pℤ| ℝd f(x − 2y)dμ(y)|

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

Milestones
Received: 10 January 2000
Published: 1 December 2001
Authors
Ya Ryong Heo
Department of Mathematics
Pohang University of Science and Technology
Pohang 790-784
Korea