Hardy Spaces of Differential Forms on Riemannian Manifolds
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Altmetric Citations
Auscher, Pascal; McIntosh, Alan; Russ, Emmanuel
Description
Let M be a complete connected Riemannian manifold. Assuming that the Riemannian measure is doubling, we define Hardy spaces Hᴾ of differential forms on M and give various characterizations of them, including an atomic decomposition. As a consequence, we derive the Hᴾ -boundedness for Riesz transforms on M, generalizing previously known results. Further applications, in particular to H∞ functional calculus and Hodge decomposition, are given.
dc.contributor.author | Auscher, Pascal | |
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dc.contributor.author | McIntosh, Alan | |
dc.contributor.author | Russ, Emmanuel | |
dc.date.accessioned | 2016-03-15T23:58:35Z | |
dc.date.available | 2016-03-15T23:58:35Z | |
dc.identifier.issn | 1050-6926 | |
dc.identifier.uri | http://hdl.handle.net/1885/100485 | |
dc.description.abstract | Let M be a complete connected Riemannian manifold. Assuming that the Riemannian measure is doubling, we define Hardy spaces Hᴾ of differential forms on M and give various characterizations of them, including an atomic decomposition. As a consequence, we derive the Hᴾ -boundedness for Riesz transforms on M, generalizing previously known results. Further applications, in particular to H∞ functional calculus and Hodge decomposition, are given. | |
dc.publisher | American Mathematical Society | |
dc.rights | © Mathematica Josephina, Inc. 2007. http://www.sherpa.ac.uk/romeo/issn/1050-6926/..." author can archive pre-print (ie pre-refereeing). Author's pre-print on pre-print servers such as arXiv.org" from SHERPA/RoMEO site (as at 22/03/16). | |
dc.source | Journal of Geometric Analysis | |
dc.subject | Riemannian manifolds | |
dc.subject | Hardy spaces | |
dc.subject | Differential forms | |
dc.subject | Riesz transforms | |
dc.title | Hardy Spaces of Differential Forms on Riemannian Manifolds | |
dc.type | Journal article | |
local.description.notes | Imported from ARIES | |
local.identifier.citationvolume | 18 | |
dc.date.issued | 2007-11-16 | |
local.identifier.absfor | 010106 | |
local.identifier.ariespublication | u4085724xPUB16 | |
local.publisher.url | http://www.ams.org/journals/ | |
local.type.status | Submitted Version | |
local.contributor.affiliation | Auscher, Pascal, Universite Paris-Sud, France | |
local.contributor.affiliation | McIntosh, Alan, College of Physical and Mathematical Sciences, CPMS Mathematical Sciences Institute, Centre for Mathematics and Its Applications, The Australian National University | |
local.contributor.affiliation | Russ, Emmanuel, Universite Paul-Cezanne, France | |
local.bibliographicCitation.issue | 1 | |
local.bibliographicCitation.startpage | 192 | |
local.bibliographicCitation.lastpage | 248 | |
local.identifier.doi | 10.1007/s12220-007-9003-x | |
dc.date.updated | 2016-06-14T08:58:51Z | |
local.identifier.scopusID | 2-s2.0-84867949037 | |
local.identifier.thomsonID | 000252477200008 | |
dcterms.accessRights | Open Access | |
Collections | ANU Research Publications |
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01_Auscher_Hardy_Spaces_2006.pdf | 569.13 kB | Adobe PDF |
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