Remark on the boundedness of the Cauchy singular integral operator on variable Lebesgue spaces with radial oscillating weights | Zendy

Alexei Yu. Karlovich | Zendy

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Remark on the boundedness of the Cauchy singular integral operator on variable Lebesgue spaces with radial oscillating weights

Author(s) -

Alexei Yu. Karlovich

Publication year - 2009

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2009/438146

Subject(s) - mathematics , lp space , operator (biology) , variable (mathematics) , singular integral , maximal operator , cauchy distribution , mathematical analysis , singular integral operators , pure mathematics , lebesgue integration , cauchy's integral formula , cauchy problem , initial value problem , integral equation , banach space , bounded function , biochemistry , chemistry , repressor , transcription factor , gene

Recently V. Kokilashvili, N. Samko, and S. Samko have proved asufficient condition for the boundedness of the Cauchy singular integral operatoron 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

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