dc.creatorAlmeida, Víctor
dc.creatorBetancor, Jorge J.
dc.creatorDalmasso, Estefanía Dafne
dc.creatorRodríguez-Mesa, Lourdes
dc.date.accessioned2020-09-08T14:02:46Z
dc.date.accessioned2022-10-15T12:40:29Z
dc.date.available2020-09-08T14:02:46Z
dc.date.available2022-10-15T12:40:29Z
dc.date.created2020-09-08T14:02:46Z
dc.date.issued2020-07
dc.identifierAlmeida, Víctor; Betancor, Jorge J.; Dalmasso, Estefanía Dafne; Rodríguez-Mesa, Lourdes; Local Hardy spaces with variable exponents associated with non-negative self-adjoint operators satisfying Gaussian estimates; Springer; The Journal Of Geometric Analysis; 30; 7-2020; 3275-3330
dc.identifier1050-6926
dc.identifierhttp://hdl.handle.net/11336/113453
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/4387153
dc.description.abstractIn this paper we introduce variable exponent local Hardy spaces $hLp$ associated with a non-negative self-adjoint operator $L$. We assume that, for every $t>0$, the operator $e^{-tL}$ has an integral representation whose kernel satisfies a Gaussian upper bound. We define $hLp$ by using an area square integral involving the semigroup ${e^{-tL}}_{t>0}$. A molecular characterization of $hLp$ is established. As an application of the molecular characterization we prove that $hLp$ coincides with the (global) Hardy space $HLp$ provided that $0$ does not belong to the spectrum of $L$. Also, we show that $hLp=H_{L+I}^{p(cdot)}(mathbb R^n)$.
dc.languageeng
dc.publisherSpringer
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s12220-019-00199-y
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1007/s12220-019-00199-y
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/restrictedAccess
dc.subjectHARDY SPACES
dc.subjectMOLECULES
dc.subjectLOCAL
dc.subjectVARIABLE EXPONENT
dc.titleLocal Hardy spaces with variable exponents associated with non-negative self-adjoint operators satisfying Gaussian estimates
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion


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