Reduction theorems for operators on the cones of monotone functions

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

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Hauptverfasser:	Gogatishvili, A, Stepanov, V. D. (Vladimir Dmitrievich)
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Sprache:	eng
Schlagworte:	Funcions monòtones Hardy, Espais de Lebesgue, Integral de Operadors lineals
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creator	Gogatishvili, A Stepanov, V. D. (Vladimir Dmitrievich)
description	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
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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.]]></description><language>eng</language><publisher>Centre de Recerca Matemàtica</publisher><subject>Funcions monòtones ; Hardy, Espais de ; Lebesgue, Integral de ; Operadors lineals</subject><creationdate>2011</creationdate><tpages>28</tpages><format>28</format><rights>info:eu-repo/semantics/openAccess 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</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>230,777,882,26955</link.rule.ids><linktorsrc>$$Uhttps://recercat.cat/handle/2072/196871$$EView_record_in_Consorci_de_Serveis_Universitaris_de_Catalunya_(CSUC)$$FView_record_in_$$GConsorci_de_Serveis_Universitaris_de_Catalunya_(CSUC)$$Hfree_for_read</linktorsrc></links><search><creatorcontrib>Gogatishvili, A</creatorcontrib><creatorcontrib>Stepanov, V. D. (Vladimir Dmitrievich)</creatorcontrib><title>Reduction theorems for operators on the cones of monotone functions</title><description><![CDATA[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. 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(Vladimir Dmitrievich)</creator><general>Centre de Recerca Matemàtica</general><scope>XX2</scope></search><sort><creationdate>2011</creationdate><title>Reduction theorems for operators on the cones of monotone functions</title><author>Gogatishvili, A ; Stepanov, V. D. (Vladimir Dmitrievich)</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-csuc_recercat_oai_recercat_cat_2072_1968713</frbrgroupid><rsrctype>text_resources</rsrctype><prefilter>text_resources</prefilter><language>eng</language><creationdate>2011</creationdate><topic>Funcions monòtones</topic><topic>Hardy, Espais de</topic><topic>Lebesgue, Integral de</topic><topic>Operadors lineals</topic><toplevel>online_resources</toplevel><creatorcontrib>Gogatishvili, A</creatorcontrib><creatorcontrib>Stepanov, V. D. (Vladimir Dmitrievich)</creatorcontrib><collection>Recercat</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Gogatishvili, A</au><au>Stepanov, V. D. (Vladimir Dmitrievich)</au><format>book</format><genre>document</genre><ristype>GEN</ristype><btitle>Reduction theorems for operators on the cones of monotone functions</btitle><date>2011</date><risdate>2011</risdate><abstract><![CDATA[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.]]></abstract><pub>Centre de Recerca Matemàtica</pub><tpages>28</tpages><oa>free_for_read</oa></addata></record>
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subjects	Funcions monòtones Hardy, Espais de Lebesgue, Integral de Operadors lineals
title	Reduction theorems for operators on the cones of monotone functions
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