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On an operator arising in the Calderón-Zygmund method of rotations and the Bramble-Hilbert lemma

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PMC
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  • Physical Sciences: Mathematics

Abstract

In this article sharp estimates are obtained for an operator that is a quadratic average with respect to v of one-dimensional Hardy-Littlewood maximal functions in the directions v. This operator arises naturally in Fourier analysis and numerical analysis.

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