About: Reduction theorems for operators on the cones of monotone functions

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	For a quasilinear operator on the semiaxis a reduction theorem is proved on the cones of monotone functions in the LpLqLpLq setting for 0<q<,1p<0<q<,1p<. The case 0<p<10<p<1 is also studied for operators with additional properties. In particular, we obtain criteria for three-weight inequalities for the Hardy-type operators on monotone functions in the case 0<q<p10<q<p1. For a quasilinear operator on the semiaxis a reduction theorem is proved on the cones of monotone functions in the LpLqLpLq setting for 0<q<,1p<0<q<,1p<. The case 0<p<10<p<1 is also studied for operators with additional properties. In particular, we obtain criteria for three-weight inequalities for the Hardy-type operators on monotone functions in the case 0<q<p10<q<p1. (en)
Title	Reduction theorems for operators on the cones of monotone functions Reduction theorems for operators on the cones of monotone functions (en)
skos:prefLabel	Reduction theorems for operators on the cones of monotone functions Reduction theorems for operators on the cones of monotone functions (en)
skos:notation	RIV/67985840:_____/13:00393007!RIV14-GA0-67985840
http://linked.open...avai/predkladatel	Matematický ústav AV ČR, v. v. i.
http://linked.open...avai/riv/aktivita	I P
http://linked.open...avai/riv/aktivity	I, P(GA13-14743S), P(GA201/08/0383)
http://linked.open...iv/cisloPeriodika	1
http://linked.open...vai/riv/dodaniDat	2014
http://linked.open...aciTvurceVysledku	Gogatishvili, Amiran
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Matematický ústav AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	101857
http://linked.open...ai/riv/idVysledku	RIV/67985840:_____/13:00393007
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	quasilinear operator; integral inequality; Lebesgue space (en)
http://linked.open.../riv/klicoveSlovo	Lebesgue space quasilinear operator integral inequality
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[2566D20D569E]
http://linked.open...i/riv/nazevZdroje	Journal of Mathematical Analysis and Applications
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Function spaces, weighted inequalities and interpolation II Function Spaces, Weighted Inequalities and Interpolation
http://linked.open...UplatneniVysledku	2013
http://linked.open...v/svazekPeriodika	405
http://linked.open...iv/tvurceVysledku	Gogatishvili, Amiran Stepanov, V. D.
http://linked.open...ain/vavai/riv/wos	000319301400014
issn	0022-247X
number of pages	17 (xsd:int)
http://bibframe.org/vocab/doi	10.1016/j.jmaa.2013.03.046

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