Geodesic
Weighted Theorems on Fractional Integrals in the Generalized Hölder Spaces via Indices mω and Mω
Fractional calculus and applied analysis, Tome 7 (2004) no. 4, pp. 437-458.

Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library

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.
Keywords: Fractional Integration Operators, Generalized Hölder Spaces, Zygmund Conditions, Bari-Stechkin Class, Orlicz Type Indices, 26A16, 26A33, 46E15 
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Karapetyants, Nikolai; Samko, Natasha. Weighted Theorems on Fractional Integrals in the Generalized Hölder Spaces via Indices mω and Mω. Fractional calculus and applied analysis, Tome 7 (2004) no. 4, pp. 437-458. http://geodesic.mathdoc.fr/item/FCAA_2004_7_4_a4/