dc.contributor.author |
Gogatishvili, A. |
dc.contributor.author |
Stepanov, V. D. (Vladimir Dmitrievich) |
dc.contributor.author |
Universitat Autònoma de Barcelona. Centre de Recerca Matemàtica |
dc.date |
2011 |
dc.identifier |
https://ddd.uab.cat/record/196679 |
dc.identifier |
urn:oai:ddd.uab.cat:196679 |
dc.format |
application/pdf |
dc.language |
eng |
dc.publisher |
Centre de Recerca Matemàtica |
dc.relation |
Centre de Recerca Matemàtica. Prepublicacions ; |
dc.rights |
open access |
dc.rights |
L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons: |
dc.rights |
https://creativecommons.org/licenses/by-nc-nd/3.0/ |
dc.subject |
Operadors lineals |
dc.subject |
Lebesgue, Integral de |
dc.subject |
Hardy, Espais de |
dc.subject |
Funcions monòtones |
dc.title |
Reduction theorems for operators on the cones of monotone functions |
dc.type |
Article |
dc.type |
Prepublicació |
dc.description.abstract |
For a quasilinear operator on the semiaxis a reduction theorem is proved on the cones of monotone functions in Lp - Lq setting for 0 < q < ∞, 1<= p < ∞. The case 0 < p < 1 is also studied for operators with additional properties. In particular, we obtain critera for three-weight inequalities for the Hardy-type operators with Oinarov' kernel on monotone functions in the case 0 < q < p <= 1. |