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Riesz Transforms in One Dimension

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dc.contributor.authorHassell, Andrew
dc.contributor.authorSikora, Adam
dc.date.accessioned2015-12-08T22:37:17Z
dc.date.available2015-12-08T22:37:17Z
dc.date.issued2009
dc.date.updated2016-02-24T11:54:35Z
dc.description.abstractWe 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
dc.identifier.issn0022-2518
dc.identifier.urihttp://hdl.handle.net/1885/35462
dc.publisherIndiana University Press
dc.sourceIndiana University Mathematics Journal
dc.subjectKeywords: Modified bessel functions; Resolvent kernels; Riesz transform
dc.titleRiesz Transforms in One Dimension
dc.typeJournal article
local.bibliographicCitation.issue2
local.bibliographicCitation.lastpage852
local.bibliographicCitation.startpage823
local.contributor.affiliationHassell, Andrew, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationSikora, Adam, College of Physical and Mathematical Sciences, ANU
local.contributor.authoruidHassell, Andrew, u8903849
local.contributor.authoruidSikora, Adam, u9515596
local.description.notesImported from ARIES
local.identifier.absfor010199 - Pure Mathematics not elsewhere classified
local.identifier.ariespublicationu9209279xPUB124
local.identifier.citationvolume58
local.identifier.doi10.1512/iumj.2009.58.3514
local.identifier.scopusID2-s2.0-67249085966
local.type.statusPublished Version

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