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Local Tb Theorems and Hardy Inequalities

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dc.contributor.authorAuscher, Pascal
dc.contributor.authorRoutin, Eddy
dc.date.accessioned2016-03-14T22:44:19Z
dc.date.available2016-03-14T22:44:19Z
dc.date.issued2011
dc.date.updated2016-06-14T08:36:37Z
dc.description.abstractIn the setting of spaces of homogeneous type, we give a direct proof of the local Tb theorem for singular integral operators. Motivated by questions of S. Hofmann, we extend it to the case when the integrability conditions are lower than 2, with an additional weak boundedness type hypothesis, which incorporates some Hardy type inequalities. The latter can be obtained from some geometric conditions on the homogeneous space. For example, we prove that the monotone geodesic property of Tessera suffices.
dc.identifier.issn1050-6926en_AU
dc.identifier.urihttp://hdl.handle.net/1885/100233
dc.publisherAmerican Mathematical Society
dc.rights© Mathematica Josephina, Inc. 2011
dc.sourceJournal of Geometric Analysis
dc.subjectLocal Tb theorem
dc.subjectSingular integral operators
dc.subjectSpace of homogeneous type
dc.subjectHardy type inequalities
dc.titleLocal Tb Theorems and Hardy Inequalities
dc.typeJournal article
local.bibliographicCitation.issue1en_AU
local.bibliographicCitation.lastpage374en_AU
local.bibliographicCitation.startpage303en_AU
local.contributor.affiliationAuscher, Pascal, College of Physical and Mathematical Sciences, CPMS Mathematical Sciences Institute, Centre for Mathematics and Its Applications, The Australian National Universityen_AU
local.contributor.affiliationRoutin, Eddy, College of Physical and Mathematical Sciences, CPMS Mathematical Sciences Institute, Centre for Mathematics and Its Applications, The Australian National Universityen_AU
local.contributor.authoruidu4760346en_AU
local.description.notesImported from ARIESen_AU
local.identifier.absfor010108en_AU
local.identifier.absseo970101en_AU
local.identifier.ariespublicationf5625xPUB6303en_AU
local.identifier.citationvolume23en_AU
local.identifier.doi10.1007/s12220-011-9249-1en_AU
local.identifier.scopusID2-s2.0-84872597398
local.publisher.urlhttp://link.springer.com/en_AU
local.type.statusPublished Versionen_AU

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