Show simple item record

dc.contributor.authorBoggarapu, P.
dc.contributor.authorRoncal, L.
dc.contributor.authorThangavelu, S.
dc.dateinfo:eu-repo/date/embargoEnd/2018-08-31en_US
dc.date.accessioned2017-08-28T10:06:54Z
dc.date.available2017-08-28T10:06:54Z
dc.date.issued2017
dc.identifier.issn0002-9947
dc.identifier.urihttp://hdl.handle.net/20.500.11824/725
dc.description.abstractOur main goal in this article is to study mixed norm estimates for the Cesàro means associated with Dunkl--Hermite expansions on $\mathbb{R}^d$. These expansions arise when one considers the Dunkl--Hermite operator (or Dunkl harmonic oscillator) $H_{\kappa}:=-\Delta_{\kappa}+|x|^2$, where $\Delta_{\kappa}$ stands for the Dunkl--Laplacian. It is shown that the desired mixed norm estimates are equivalent to vector-valued inequalities for a sequence of Ces\`{a}ro means for Laguerre expansions with shifted parameter. In order to obtain such vector-valued inequalities, we develop an argument to extend these Laguerre operators for complex values of the parameters involved and apply a version of three lines lemma.en_US
dc.formatapplication/pdfen_US
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.titleMixed norm estimates for the Cesàro means associated with Dunkl-Hermite expansionsen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.relation.publisherversionhttp://www.ams.org/journals/tran/2017-369-10/S0002-9947-2017-06861-6/en_US
dc.relation.projectIDES/1PE/SEV-2013-0323en_US
dc.relation.projectIDEUS/BERC/BERC.2014-2017en_US
dc.rights.accessRightsinfo:eu-repo/semantics/embargoedAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/acceptedVersionen_US
dc.journal.titleTransactions of the American Mathematical Societyen_US


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record

Reconocimiento-NoComercial-CompartirIgual 3.0 España
Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España