Extensions of Rubio de Francia's extrapolation theorem in variable   Lebesgue space and application
  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. 
Gogatishvili Amiran, Kopaliani Tengiz
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