Reduction theorems for operators on the cones of monotone functions

All of RECERCAT

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.