Bulletin of the
Korean Mathematical Society BKMS

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Bull. Korean Math. Soc. 2001; 38(1): 93-100

Printed March 1, 2001

Copyright © The Korean Mathematical Society.

The maximal operator of Bochner-Riesz means for radial functions

Sunggeum Hong

Seoul National University

Abstract

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Author proves weak type estimates of the maximal function associated with the Bochner-Riesz means while it is claimed $p=2n/(n+1+2\delta)$ and $0 < \delta \leq (n-1)/2$ that the maximal function is bounded on $L^{p}_{rad}$.

Keywords: maximal operator, radial functions in $L^p$

MSC numbers: Primary: 42B15, 42B25

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