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Pseudodifferential Operators Associated with a Semigroup of Operators

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Bernicot, Frédéric; Frey, Dorothee

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Related to a semigroup of operators on a metric measure space, we define and study pseudodifferential operators (including the setting of Riemannian manifolds, fractals, graphs etc.). Boundedness on L p for pseudodifferential operators of order 0 is proved. We mainly focus on symbols belonging to the class S01,δS1,δ0 for δ∈[0,1). For the limit class S01,1S1,10, we describe some results by restricting our attention to the case of a sub-Laplacian operator on a Riemannian manifold.

dc.contributor.authorBernicot, Frédéric
dc.contributor.authorFrey, Dorothee
dc.date.accessioned2016-06-14T23:20:35Z
dc.identifier.issn1069-5869
dc.identifier.urihttp://hdl.handle.net/1885/103457
dc.description.abstractRelated to a semigroup of operators on a metric measure space, we define and study pseudodifferential operators (including the setting of Riemannian manifolds, fractals, graphs etc.). Boundedness on L p for pseudodifferential operators of order 0 is proved. We mainly focus on symbols belonging to the class S01,δS1,δ0 for δ∈[0,1). For the limit class S01,1S1,10, we describe some results by restricting our attention to the case of a sub-Laplacian operator on a Riemannian manifold.
dc.publisherBirkhauser Verlag
dc.sourceJournal of Fourier Analysis and Applications
dc.titlePseudodifferential Operators Associated with a Semigroup of Operators
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume20
dc.date.issued2014
local.identifier.absfor010100 - PURE MATHEMATICS
local.identifier.ariespublicationU3488905xPUB7767
local.type.statusPublished Version
local.contributor.affiliationBernicot, Frédéric, CNRS, Université de Nantes
local.contributor.affiliationFrey, Dorothee, College of Physical and Mathematical Sciences, ANU
local.description.embargo2037-12-31
local.bibliographicCitation.issue1
local.bibliographicCitation.startpage91
local.bibliographicCitation.lastpage118
local.identifier.doi10.1007/s00041-013-9309-y
dc.date.updated2016-06-14T08:50:49Z
local.identifier.scopusID2-s2.0-84897023988
CollectionsANU Research Publications

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