Use this identifier to quote or link this document: http://hdl.handle.net/2072/196871

Reduction theorems for operators on the cones of monotone functions
Gogatishvili, A.; Stepanov, V. D. (Vladimir Dmitrievich)
Centre de Recerca Matemàtica
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.
2011
517 - Anàlisi
Operadors lineals
Lebesgue, Integral de
Hardy, Espais de
Funcions monòtones
L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons: http://creativecommons.org/licenses/by-nc-nd/3.0/es/
28 p.
Preprint
Centre de Recerca Matemàtica
Prepublicacions del Centre de Recerca Matemàtica;1067
         

Full text files in this document

Files Size Format
Pr1067.pdf 266.3 KB PDF

Show full item record

Related documents

Other documents of the same author

Stepanov, V. D. (Vladimir Dmitrievich)
 

Coordination

 

Supporters