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Operators of fractional integrodifferentiation in generalized weighted Hölder classes. (Russian) Zbl 0697.26004

Actual questions of function theory, Rostov, 161-163 (1987).
Summary: [For the entire collection see Zbl 0697.00014.]
A Siegmund estimation is derived for operators of fractional integration and fractional differentiation. The effect of the operators in weighted generalized Hölder spaces is analyzed and an isomorphism between the spaces is established that is realized via operators of fractional integration.

MSC:

26A33 Fractional derivatives and integrals
26A16 Lipschitz (Hölder) classes

Citations:

Zbl 0697.00014