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Fractional type operators in weighted generalized Hölder spaces

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Georgian Mathematical Journal

Abstract

Weighted Zygmund type estimates are obtained for the continuity modulus of some convolution type integrals. In the case of fractional integrals this is strengthened to a result on isomorphism between certain weighted generalized Hölder type spaces.

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Author notes

  1. S. G. Samko & Z. U. Musslaeva

    Present address: Department of Mathematics and Mechanics, Rostov University, 105, ul. Bol'shaya Sadovaya, 344711, Rostov-on-Don, Russia

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    1. S. G. Samko
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    2. Z. U. Musslaeva
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    Samko, S.G., Musslaeva, Z.U. Fractional type operators in weighted generalized Hölder spaces. Georgian Mathematical Journal 1, 537–559 (1994). https://doi.org/10.1007/BF02317683

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    • DOI: https://doi.org/10.1007/BF02317683

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