Inheritance of the differential properties of potentials by functions
Trudy Instituta matematiki i mehaniki, Dynamical systems and control problems, Tome 11 (2005) no. 1, pp. 32-42 Cet article a éte moissonné depuis la source Math-Net.Ru

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Generalizations of the notion of differentiability of functions are considered. Relations between approximation gradients and the Riesz transforms, Bessel potentials, Poisson integral, Steklov means, Sobolev derivatives, $L^p$ differentiation, and harmonic derivatives are established.
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V. D. Batukhtin; S. I. Bigil'deev. Inheritance of the differential properties of potentials by functions. Trudy Instituta matematiki i mehaniki, Dynamical systems and control problems, Tome 11 (2005) no. 1, pp. 32-42. http://geodesic.mathdoc.fr/item/TIMM_2005_11_1_a3/

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