Fractional Integration Operators Generalized Hölder Spaces Zygmund Conditions Bari-Stechkin Class Orlicz Type Indices 26A16 26A33 46E15
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Fractional Calculus and Applied Analysis, Vol. 7, No 4, (2004), 437p-458p
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.