Operators connected with fractional differentiation, and classes of differentiable functions
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Investigations in the theory of differentiable functions of many variables and its applications. Part IV, Tome 117 (1972), pp. 212-243.

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     author = {P. I. Lizorkin},
     title = {Operators connected with fractional differentiation, and classes of differentiable functions},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {212--243},
     publisher = {mathdoc},
     volume = {117},
     year = {1972},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_1972_117_a11/}
}
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P. I. Lizorkin. Operators connected with fractional differentiation, and classes of differentiable functions. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Investigations in the theory of differentiable functions of many variables and its applications. Part IV, Tome 117 (1972), pp. 212-243. http://geodesic.mathdoc.fr/item/TM_1972_117_a11/