Riesz Transforms in One Dimension

Hassell, Andrew; Sikora, Adam

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Riesz Transforms in One Dimension

Date

2009

Authors

Hassell, Andrew

Sikora, Adam

Publisher

Indiana University Press

Abstract

We study the boundedness on Lp of the Riesz transform δL-1/2, where I is one of several operators defined on ℝ or ℝ+, endowed with the measure rd-1 dr, d > 1, where dr is Lebesgue measure. For integer d, this mimics the measure on Euclidean d-dimensi