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Riesz Transforms in One Dimension

Hassell, Andrew; Sikora, Adam


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

CollectionsANU Research Publications
Date published: 2009
Type: Journal article
Source: Indiana University Mathematics Journal
DOI: 10.1512/iumj.2009.58.3514


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