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Comparison of the classical BMO with the BMO spaces associated with operators and applications

Deng, Donggao; Duong, Xuan Thinh; Sikora, Adam; Yan, Lixin

Description

Let L be a generator of a semigroup satisfying the Gaussian upper bounds. A new BMOL space associated with L was recently introduced in [15] and [16]. We discuss applications of the new BMOL spaces in the theory of singular integration. For example we obtain BMOL estimates and interpolation results for fractional powers, purely imaginary powers and spectral multipliers of self adjoint operators. We also demonstrate that the space BMOL might coincide with or might be essentially different from...[Show more]

dc.contributor.authorDeng, Donggao
dc.contributor.authorDuong, Xuan Thinh
dc.contributor.authorSikora, Adam
dc.contributor.authorYan, Lixin
dc.date.accessioned2015-12-08T22:13:35Z
dc.identifier.issn0213-2230
dc.identifier.urihttp://hdl.handle.net/1885/29881
dc.description.abstractLet L be a generator of a semigroup satisfying the Gaussian upper bounds. A new BMOL space associated with L was recently introduced in [15] and [16]. We discuss applications of the new BMOL spaces in the theory of singular integration. For example we obtain BMOL estimates and interpolation results for fractional powers, purely imaginary powers and spectral multipliers of self adjoint operators. We also demonstrate that the space BMOL might coincide with or might be essentially different from the classical BMO space.
dc.publisherUniversidad Autonoma de Madrid
dc.sourceRevista Matematica Iberoamericana
dc.source.urihttp://projecteuclid.org/euclid.rmi/1216247102
dc.subjectKeywords: BMO space; Dirichlet and neumann laplacians; Fractional powers; Gaussian bounds; Hardy space; Purely imaginary powers; Semigroup; Spectral multiplier
dc.titleComparison of the classical BMO with the BMO spaces associated with operators and applications
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume24
dc.date.issued2008
local.identifier.absfor010108 - Operator Algebras and Functional Analysis
local.identifier.ariespublicationu4085724xPUB69
local.type.statusPublished Version
local.contributor.affiliationDeng, Donggao, Zhongshan University
local.contributor.affiliationDuong, Xuan Thinh, Macquarie University
local.contributor.affiliationSikora, Adam, College of Physical and Mathematical Sciences, ANU
local.contributor.affiliationYan, Lixin, Zhongshan University
local.description.embargo2037-12-31
local.bibliographicCitation.issue1
local.bibliographicCitation.startpage267
local.bibliographicCitation.lastpage296
dc.date.updated2015-12-08T07:44:23Z
local.identifier.scopusID2-s2.0-48249157403
CollectionsANU Research Publications

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