<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="6.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Karlovich, Alexei Yu.</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Remark on the boundedness of the Cauchy singular integral operator on variable Lebesgue spaces with radial oscillating weights</style></title><secondary-title><style face="normal" font="default" size="100%">Journal of Function Spaces and Applications</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">Carleson curve</style></keyword><keyword><style  face="normal" font="default" size="100%">Matuszewska-Orlicz indices</style></keyword><keyword><style  face="normal" font="default" size="100%">radial oscillating weight</style></keyword><keyword><style  face="normal" font="default" size="100%">submultiplicative function}</style></keyword><keyword><style  face="normal" font="default" size="100%">variable exponent</style></keyword><keyword><style  face="normal" font="default" size="100%">{Variable Lebesgue space</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2009</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">http://www.hindawi.com/journals/jfsa/2009/438146/abs/</style></url></web-urls></urls><number><style face="normal" font="default" size="100%">{3}</style></number><publisher><style face="normal" font="default" size="100%">{SCIENTIFIC HORIZON}</style></publisher><pub-location><style face="normal" font="default" size="100%">{27, KANCHANCHANGA 90, I P EXTENSION, DELHI, 110-092, INDIA}</style></pub-location><volume><style face="normal" font="default" size="100%">7</style></volume><pages><style face="normal" font="default" size="100%">301-311</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;Recently V. Kokilashvili, N. Samko, and S. Samko have proved a sufficient condition for the boundedness of the Cauchy singular integral operator on variable Lebesgue spaces with radial oscillating weights over Carleson curves. This condition is formulated in terms of Matuszewska-Orlicz indices of weights. We prove a partial converse of their result.&lt;/p&gt;
</style></abstract><work-type><style face="normal" font="default" size="100%">{Article}</style></work-type><notes><style face="normal" font="default" size="100%">&lt;p&gt;n/a&lt;/p&gt;
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