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Fractional Type Operators in Weighted Generalized Hölder Spaces

Stefan SamkoRostov University, Department of Mathematics and Mechanics, 105, ul. Bol'shaya Sadovaya, Rostov-on-Don, 344711, RussiaZ. U. MussalaevaRostov University, Department of Mathematics and Mechanics, 105, ul. Bol'shaya Sadovaya, Rostov-on-Don, 344711, Russia
1994en
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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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