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Fractional Integrals of Imaginary Order in the Space of Hölder Functions with Polynomial Weight on an Interval

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Abstract

We study fractional integrals of imaginary order in the Marchaud form in Hölder space with polynomial weight at finitely many points in the closed interval [0,1]. We present conditions on the orders of the weight for which this operator is invertible in the space described above.

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  1. Rostov State University, Russia

    N. K. Karapetyants & L. D. Shankishvili

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  1. N. K. Karapetyants
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  2. L. D. Shankishvili
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Karapetyants, N.K., Shankishvili, L.D. Fractional Integrals of Imaginary Order in the Space of Hölder Functions with Polynomial Weight on an Interval. Mathematical Notes 74, 49–55 (2003). https://doi.org/10.1023/A:1025063031729

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