dc.creator | Almeida, Víctor | |
dc.creator | Betancor, Jorge J. | |
dc.creator | Dalmasso, Estefanía Dafne | |
dc.creator | Rodríguez-Mesa, Lourdes | |
dc.date.accessioned | 2020-09-08T14:02:46Z | |
dc.date.accessioned | 2022-10-15T12:40:29Z | |
dc.date.available | 2020-09-08T14:02:46Z | |
dc.date.available | 2022-10-15T12:40:29Z | |
dc.date.created | 2020-09-08T14:02:46Z | |
dc.date.issued | 2020-07 | |
dc.identifier | Almeida, 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.identifier | 1050-6926 | |
dc.identifier | http://hdl.handle.net/11336/113453 | |
dc.identifier | CONICET Digital | |
dc.identifier | CONICET | |
dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/4387153 | |
dc.description.abstract | In 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.language | eng | |
dc.publisher | Springer | |
dc.relation | info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s12220-019-00199-y | |
dc.relation | info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1007/s12220-019-00199-y | |
dc.rights | https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ | |
dc.rights | info:eu-repo/semantics/restrictedAccess | |
dc.subject | HARDY SPACES | |
dc.subject | MOLECULES | |
dc.subject | LOCAL | |
dc.subject | VARIABLE EXPONENT | |
dc.title | Local Hardy spaces with variable exponents associated with non-negative self-adjoint operators satisfying Gaussian estimates | |
dc.type | info:eu-repo/semantics/article | |
dc.type | info:ar-repo/semantics/artículo | |
dc.type | info:eu-repo/semantics/publishedVersion | |