Conical square functions associated with Bessel, Laguerre and Schrödinger operators in UMD Banach spaces

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dc.contributor.authorBetancor, Jorge J.
dc.contributor.authorCastro, Alejandro J.
dc.contributor.authorFariña, Juan C.
dc.contributor.authorRodríguez-Mesa, L.
dc.creatorJorge J., Betancor
dc.date.accessioned2017-12-22T03:12:34Z
dc.date.available2017-12-22T03:12:34Z
dc.date.issued2017-03-01
dc.description.abstractAbstract In this paper we consider conical square functions in the Bessel, Laguerre and Schrödinger settings where the functions take values in UMD Banach spaces. Following a recent paper of Hytönen, van Neerven and Portal [36], in order to define our conical square functions, we use γ-radonifying operators. We obtain new equivalent norms in the Lebesgue–Bochner spaces Lp((0,∞),B) and Lp(Rn,B), 1<p<∞, in terms of our square functions, provided that B is a UMD Banach space. Our results can be seen as Banach valued versions of known scalar results for square functions.en_US
dc.identifierDOI:10.1016/j.jmaa.2016.10.006
dc.identifier.citationJorge J. Betancor, Alejandro J. Castro, Juan C. Fariña, L. Rodríguez-Mesa, Conical square functions associated with Bessel, Laguerre and Schrödinger operators in UMD Banach spaces, In Journal of Mathematical Analysis and Applications, Volume 447, Issue 1, 2017, Pages 32-75en_US
dc.identifier.issn0022247X
dc.identifier.urihttps://www.sciencedirect.com/science/article/pii/S0022247X16305923
dc.identifier.urihttp://nur.nu.edu.kz/handle/123456789/3012
dc.language.isoenen_US
dc.publisherJournal of Mathematical Analysis and Applicationsen_US
dc.relation.ispartofJournal of Mathematical Analysis and Applications
dc.rights.license© 2016 Elsevier Inc. All rights reserved.
dc.subjectConical square functionsen_US
dc.subjectVector-valued harmonic analysisen_US
dc.subjectUMD Banach spacesen_US
dc.subjectBesselen_US
dc.subjectLaguerreen_US
dc.subjectSchrödingeren_US
dc.titleConical square functions associated with Bessel, Laguerre and Schrödinger operators in UMD Banach spacesen_US
dc.typeArticleen_US
elsevier.aggregationtypeJournal
elsevier.coverdate2017-03-01
elsevier.coverdisplaydate1 March 2017
elsevier.endingpage75
elsevier.identifier.doi10.1016/j.jmaa.2016.10.006
elsevier.identifier.eid1-s2.0-S0022247X16305923
elsevier.identifier.piiS0022-247X(16)30592-3
elsevier.identifier.scopusid84994148934
elsevier.issue.identifier1
elsevier.openaccess0
elsevier.openaccessarticlefalse
elsevier.openarchivearticlefalse
elsevier.startingpage32
elsevier.teaserIn this paper we consider conical square functions in the Bessel, Laguerre and Schrödinger settings where the functions take values in UMD Banach spaces. Following a recent paper of Hytönen, van Neerven...
elsevier.volume447
workflow.import.sourcescience

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