On the density of functions in $C^\infty(\overline\Omega)$ in the weight space $W_{p,\sigma}^m(\Omega)$
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Investigations in the theory of differentiable functions of many variables and its applications. Part 2, Tome 89 (1967), pp. 119-129.

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@article{TM_1967_89_a8,
     author = {D. F. Kalinichenko},
     title = {On the density of functions in $C^\infty(\overline\Omega)$ in the weight space $W_{p,\sigma}^m(\Omega)$},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {119--129},
     publisher = {mathdoc},
     volume = {89},
     year = {1967},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_1967_89_a8/}
}
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D. F. Kalinichenko. On the density of functions in $C^\infty(\overline\Omega)$ in the weight space $W_{p,\sigma}^m(\Omega)$. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Investigations in the theory of differentiable functions of many variables and its applications. Part 2, Tome 89 (1967), pp. 119-129. http://geodesic.mathdoc.fr/item/TM_1967_89_a8/