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A weyl pseudodifferential calculus associated with exponential weights on ℝ d

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dc.contributor.authorHarris, Sean
dc.date.accessioned2023-02-26T21:48:04Z
dc.date.issued2021
dc.date.updated2021-12-19T07:17:03Z
dc.description.abstractWe construct a Weyl pseudodifferential calculus tailored to studying boundedness of operators on weighted L spaces over ℝ with weights of the form exp. Φ.x//,for Φ a C function, a setting in which the operator associated to the weighted Dirichlet form typically has only holomorphic functional calculus. A symbol class giving rise to bounded operators on L is determined, and its properties are analyzed. This theory is used to calcu-late an upper bounded on the H angle of relevant operators and deduces known optimal results in some cases. Finally, the symbol class is enriched and studied under an algebraic viewpoint.en_AU
dc.description.sponsorshipThis research is also supported by an Australian Government Research Training Program (RTP) Scholarship.en_AU
dc.format.mimetypeapplication/pdfen_AU
dc.identifier.issn0019-2082en_AU
dc.identifier.urihttp://hdl.handle.net/1885/286413
dc.language.isoen_AUen_AU
dc.publisherUniversity of Illinois Pressen_AU
dc.relationhttp://purl.org/au-research/grants/arc/DP160100941en_AU
dc.rights© 2021 The authorsen_AU
dc.sourceIllinois Journal of Mathematicsen_AU
dc.titleA weyl pseudodifferential calculus associated with exponential weights on ℝ den_AU
dc.typeJournal articleen_AU
local.bibliographicCitation.issue1en_AU
local.bibliographicCitation.lastpage152en_AU
local.bibliographicCitation.startpage121en_AU
local.contributor.affiliationHarris, Sean, College of Science, ANUen_AU
local.contributor.authoruidHarris, Sean, u5349004en_AU
local.description.embargo2099-12-31
local.description.notesImported from ARIESen_AU
local.identifier.absfor490408 - Operator algebras and functional analysisen_AU
local.identifier.absfor490410 - Partial differential equationsen_AU
local.identifier.absfor490406 - Lie groups, harmonic and Fourier analysisen_AU
local.identifier.ariespublicationa383154xPUB19405en_AU
local.identifier.citationvolume65en_AU
local.identifier.doi10.1215/00192082-8886959en_AU
local.identifier.scopusID2-s2.0-85105002890
local.publisher.urlhttps://projecteuclid.org/en_AU
local.type.statusPublished Versionen_AU

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