Remark on the Boundedness of the Cauchy Singular Integral Operator on Variable Lebesgue Spaces with Radial Oscillating Weights

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dc.creatorKarlovich, Alexei Yu.
dc.date2008-04-24
dc.date2009-04-02
dc.date.accessioned2026-07-07T12:58:46Z
dc.date.available2026-07-07T12:58:46Z
dc.descriptionRecently 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.
dc.description8 pages, the case of open curves is added
dc.identifierhttps://arxiv.org/abs/0804.3880
dc.identifierhttp://arxiv.org/abs/0804.3880
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225352
dc.subjectClassical Analysis and ODEs
dc.subjectFunctional Analysis
dc.subject42B20; 47B38
dc.titleRemark on the Boundedness of the Cauchy Singular Integral Operator on Variable Lebesgue Spaces with Radial Oscillating Weights
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