Geodesic
On the Besov and Besov--Nikol'skii Classes and on Estimates for the Mixed Moduli of Smoothness of Fractional Derivatives
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function spaces, approximations, and differential equations, Tome 243 (2003), pp. 244-256.

Voir la notice de l'article provenant de la source Math-Net.Ru

Fractional-order derivatives in the sense of Weyl are considered for functions of several variables. Estimates for the mixed moduli of smoothness for these derivatives are obtained in terms of the mixed moduli of smoothness of the functions themselves. These estimates are applied to study the interrelation between the Besov and Nikol'skii–Besov classes and the other classes of functions. 
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     title = {On the {Besov} and {Besov--Nikol'skii} {Classes} and on {Estimates} for the {Mixed} {Moduli} of {Smoothness} of {Fractional} {Derivatives}},
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M. K. Potapov; B. V. Simonov; S. Yu. Tikhonov. On the Besov and Besov--Nikol'skii Classes and on Estimates for the Mixed Moduli of Smoothness of Fractional Derivatives. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function spaces, approximations, and differential equations, Tome 243 (2003), pp. 244-256. http://geodesic.mathdoc.fr/item/TM_2003_243_a17/

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