Reduction theorems for operators on the cones of monotone functions

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Title:	Reduction theorems for operators on the cones of monotone functions
Author:	Gogatishvili, A.; Stepanov, V. D. (Vladimir Dmitrievich); Universitat Autònoma de Barcelona. Centre de Recerca Matemàtica
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.
Subject(s):	-Operadors lineals -Lebesgue, Integral de -Hardy, Espais de -Funcions monòtones
Rights:	open access L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons: https://creativecommons.org/licenses/by-nc-nd/3.0/
Document type:	Article Prepublicació
Published by:	Centre de Recerca Matemàtica
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Uri:	https://ddd.uab.cat/record/196679