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It is shown that the uniform radius of spatial analyticityof solutions at time  t  to the Ostrovsky equation with positive dispersion cannot decay faster thanasgiven initial data that is analytic with fixed radius. The main ingredients in the proof are almost conservation law for the solution to the Ostrovsky equation in space of analytic functions and space-time dyadic bilinear estimates associated with the Ostrovsky equation.

On the radius of spatial analyticity for Ostrovsky equation with positive dispersion