This article is cited in 1 paper

Inheritance of the differential properties of potentials by functions

V. D. Batukhtin, S. I. Bigil'deev


Abstract: 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.

UDC: 517.5

Received: 03.03.2004

 English version: Proceedings of the Steklov Institute of Mathematics (Supplement Issues), 2005, suppl. 1, S31–S42

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