dc.creator | Aimar, Hugo Alejandro | |
dc.creator | Hartzstein, Silvia Inés | |
dc.creator | Iaffei, Bibiana Raquel | |
dc.creator | Viviani, Beatriz Eleonora | |
dc.date.accessioned | 2019-09-23T13:12:15Z | |
dc.date.accessioned | 2022-10-15T14:12:55Z | |
dc.date.available | 2019-09-23T13:12:15Z | |
dc.date.available | 2022-10-15T14:12:55Z | |
dc.date.created | 2019-09-23T13:12:15Z | |
dc.date.issued | 2011-03 | |
dc.identifier | Aimar, Hugo Alejandro; Hartzstein, Silvia Inés; Iaffei, Bibiana Raquel; Viviani, Beatriz Eleonora; The Riesz potential as a multilinear operator into general BMOβ spaces; Springer Science; Journal Of Mathematical Sciences; 173; 6; 3-2011; 643-655 | |
dc.identifier | 1072-3374 | |
dc.identifier | http://hdl.handle.net/11336/84086 | |
dc.identifier | CONICET Digital | |
dc.identifier | CONICET | |
dc.identifier.uri | https://repositorioslatinoamericanos.uchile.cl/handle/2250/4395462 | |
dc.description.abstract | Given α > 0 and a space of homogeneous type X, n-normal, with n ℝ+, we consider an extension of the standard multilinear fractional integral on Lp1 × ... × Lpk for the range of 1/pi = 1/p1...+1/pk -α/n ≤ 0. We show that the target space is an adequate space BMOβ defined through mean oscillations. For general spaces of homogeneous type this is a Banach space of classes of functions modulii constants and the range of β is [0, 1). However, if X = ℝn (n ∈ N), we can extend the result to β > 0 taking in account that BMOβ is a space of classes modulii polynomials of order lower than or equal to [β]. Bibliography: 15 titles. | |
dc.language | eng | |
dc.publisher | Springer Science | |
dc.relation | info:eu-repo/semantics/altIdentifier/url/http://www.springerlink.com/content/yp6636458k02121v/ | |
dc.relation | info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s10958-011-0264-3 | |
dc.rights | https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ | |
dc.rights | info:eu-repo/semantics/restrictedAccess | |
dc.subject | Riesz Potentials | |
dc.subject | Multilinear Operators | |
dc.subject | Lipschitz Integral Spaces | |
dc.title | The Riesz potential as a multilinear operator into general BMOβ spaces | |
dc.type | info:eu-repo/semantics/article | |
dc.type | info:ar-repo/semantics/artículo | |
dc.type | info:eu-repo/semantics/publishedVersion | |