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

Robert Fefferman

Type: Article

Publication Date: 1983-06-01

Citations: 18

DOI: https://doi.org/10.1073/pnas.80.12.3877

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.

Locations

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