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Multilevel characterizations of anisotropic function spaces

dc.contributor.authorKyriazis, George C.en
dc.creatorKyriazis, George C.en
dc.date.accessioned2019-12-02T10:36:37Z
dc.date.available2019-12-02T10:36:37Z
dc.date.issued2005
dc.identifier.urihttp://gnosis.library.ucy.ac.cy/handle/7/57196
dc.description.abstractWe present a general method for extending decomposition systems of L 2(ℝd) to decomposition systems for the anisotropic Triebel-Lizorkin and Besov spaces, Fp,qα,s and Bp,qα,s, respectively, for the full range of the indexes. Our approach is based on techniques from harmonic analysis and relies on the boundedness of almost diagonal operators on appropriate sequence spaces. Typical examples of such decomposition systems are the various wavelet-type unconditional bases for L2(ℝd). © 2004 Society for Industrial and Applied Mathematics.en
dc.sourceSIAM Journal on Mathematical Analysisen
dc.source.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-14944346674&doi=10.1137%2fS0036141003425684&partnerID=40&md5=a0a8587bdce6e2254ee256b3babe8241
dc.subjectMathematical modelsen
dc.subjectStatisticsen
dc.subjectApproximation theoryen
dc.subjectSet theoryen
dc.subjectTheorem provingen
dc.subjectParameter estimationen
dc.subjectVectorsen
dc.subjectFunctionsen
dc.subjectMathematical operatorsen
dc.subjectNumerical analysisen
dc.subjectAnisotropyen
dc.subjectHarmonic analysisen
dc.subjectImage processingen
dc.subjectWavelet transformsen
dc.subjectFourier transformsen
dc.subjectWaveletsen
dc.subjectAlmost diagonal operatorsen
dc.subjectAnisotropic function spacesen
dc.subjectFourier multipliersen
dc.subjectUnconditional basesen
dc.titleMultilevel characterizations of anisotropic function spacesen
dc.typeinfo:eu-repo/semantics/article
dc.identifier.doi10.1137/S0036141003425684
dc.description.volume36
dc.description.issue2
dc.description.startingpage441
dc.description.endingpage462
dc.author.facultyΣχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences
dc.author.departmentΤμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics
dc.type.uhtypeArticleen
dc.description.notes<p>Cited By :6</p>en
dc.source.abbreviationSIAM J.Math.Anal.en
dc.contributor.orcidKyriazis, George C. [0000-0001-9514-3482]
dc.gnosis.orcid0000-0001-9514-3482


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