Spaces of functions of fractional smoothness on an irregular domain

Author:

Besov O. V.

Publisher

Pleiades Publishing Ltd

Subject

Mathematics (miscellaneous)

Reference19 articles.

1. S. L. Sobolev, Some Applications of Functional Analysis in Mathematical Physics (Nauka, Moscow, 1988; Am. Math. Soc., Providence, RI, 1991).

2. V. G. Maz’ya, Sobolev Spaces (Leningr. Gos. Univ., Leningrad, 1985; Springer, Berlin, 1985).

3. Yu. G. Reshetnyak, “Integral Representations of Differentiable Functions in Domains with Nonsmooth Boundary,” Sib. Mat. Zh. 21(6), 108–116 (1980) [Sib. Math. J. 21, 833–839 (1980)].

4. V. M. Gol’dshtein and Yu. G. Reshetnyak, Introduction to the Theory of Functions with Generalized Derivatives, and Quasiconformal Mappings (Nauka, Moscow, 1983). English transl.: Quasiconformal Mappings and Sobolev Spaces (Kluwer, Dordrecht, 1990).

5. O. V. Besov, V. P. Il’in, and S. M. Nikol’skii, Integral Representations of Functions and Imbedding Theorems (Nauka, Moscow, 1996) [in Russian].

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