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

Betancor, Jorge J.; Castro, Alejandro J.; Fariña, Juan C.; Rodríguez-Mesa, L.

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dc.contributor.author	Betancor, Jorge J.
dc.contributor.author	Castro, Alejandro J.
dc.contributor.author	Fariña, Juan C.
dc.contributor.author	Rodríguez-Mesa, L.
dc.creator	Jorge J., Betancor
dc.date.accessioned	2017-12-22T03:12:34Z
dc.date.available	2017-12-22T03:12:34Z
dc.date.issued	2017-03-01
dc.identifier	DOI:10.1016/j.jmaa.2016.10.006
dc.identifier.citation	Jorge 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 32-75	en_US
dc.identifier.issn	0022247X
dc.identifier.uri	https://www.sciencedirect.com/science/article/pii/S0022247X16305923
dc.identifier.uri	http://nur.nu.edu.kz/handle/123456789/3012
dc.description.abstract	Abstract 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.language.iso	en	en_US
dc.publisher	Journal of Mathematical Analysis and Applications	en_US
dc.relation.ispartof	Journal of Mathematical Analysis and Applications
dc.subject	Conical square functions	en_US
dc.subject	Vector-valued harmonic analysis	en_US
dc.subject	UMD Banach spaces	en_US
dc.subject	Bessel	en_US
dc.subject	Laguerre	en_US
dc.subject	Schrödinger	en_US
dc.title	Conical square functions associated with Bessel, Laguerre and Schrödinger operators in UMD Banach spaces	en_US
dc.type	Article	en_US
dc.rights.license	© 2016 Elsevier Inc. All rights reserved.
elsevier.identifier.doi	10.1016/j.jmaa.2016.10.006
elsevier.identifier.eid	1-s2.0-S0022247X16305923
elsevier.identifier.pii	S0022-247X(16)30592-3
elsevier.identifier.scopusid	84994148934
elsevier.volume	447
elsevier.issue.identifier	1
elsevier.coverdate	2017-03-01
elsevier.coverdisplaydate	1 March 2017
elsevier.startingpage	32
elsevier.endingpage	75
elsevier.openaccess	0
elsevier.openaccessarticle	false
elsevier.openarchivearticle	false
elsevier.teaser	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...
elsevier.aggregationtype	Journal
workflow.import.source	science