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Weighted Theorems on Fractional Integrals in the Generalized Hölder Spaces via Indices mω and Mω

Karapetyants, NikolaiSamko, Natasha — 2004

Fractional Calculus and Applied Analysis

Mathematics Subject Classification: 26A16, 26A33, 46E15. There are known various statements on weighted action of one-dimensional and multidimensional fractional integration operators in spaces of continuous functions, such as weighted generalized Hölder spaces Hω0(ρ) of functions with a given dominant ω of their continuity modulus.

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