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arXiv · 1407.5216

Extensions of Rubio de Francia's extrapolation theorem in variable Lebesgue space and application

Gogatishvili Amiran·Kopaliani Tengiz
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Abstract

We obtain one variant of the extrapolation theorem of Rubio de Fracia for variable exponent Lebesgue spaces. As a consequence we obtain conditions guarantee boundedness of strongly singular integral operators, singular integral operators with rough kernels, fractional maximal operators related to spherical means, Bochner-Riesz operators in variable Lebesgue spaces.

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Gogatishvili Amiran, Kopaliani Tengiz. 2014-07-19. Extensions of Rubio de Francia's extrapolation theorem in variable Lebesgue space and application. https://arxiv.org/abs/1407.5216

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