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most citedJacobi weights, fractional integration, and sharp Ulyanov inequalities

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math.FA2016★ 4 cited

Jacobi weights, fractional integration, and sharp Ulyanov inequalities

Polina Glazyrina, Sergey Tikhonov

We consider functions L_p-integrable with Jacobi weights on [-1,1] and prove Hardy--Littlewood type inequalities for fractional integrals. As applications, we obtain the sharp (L_p…