Maximal operators on variable Lebesgue spaces with weights related to oscillations of Carleson curves

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dc.creatorKarlovich, Alexei Yu.
dc.date2008-08-02
dc.date.accessioned2026-07-07T09:54:27Z
dc.date.available2026-07-07T09:54:27Z
dc.descriptionWe prove sufficient conditions for the boundedness of the maximal operator on variable Lebesgue spaces with weights $φ_{t,γ}(τ)=|(τ-t)^γ|$, where $γ$ is a complex number, over arbitrary Carleson curves. If the curve has different spirality indices at the point $t$ and $γ$ is not real, then $φ_{t,γ}$ is an oscillating weight lying beyond the class of radial oscillating weights considered recently by V. Kokilashvili, N. Samko, and S. Samko.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/0808.0258
dc.identifierhttp://arxiv.org/abs/0808.0258
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166318
dc.subjectClassical Analysis and ODEs
dc.subjectFunctional Analysis
dc.subject42B20
dc.titleMaximal operators on variable Lebesgue spaces with weights related to oscillations of Carleson curves
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