Rellich′s Embedding Theorem for a “Spiny Urchin”
Canadian mathematical bulletin, Tome 10 (1967) no. 5, pp. 731-734
Voir la notice de l'article provenant de la source Cambridge University Press
From the plane R2 we remove the union of the sets Sk (k = 1, 2, ...) defined as follows (using the notation z = x + iy):Sk = {z: arg z = nπ2-k for some integer n; |z|≥k}.The remaining connected open set Ω we call the spiny urchin.
Clark, Colin. Rellich′s Embedding Theorem for a “Spiny Urchin”. Canadian mathematical bulletin, Tome 10 (1967) no. 5, pp. 731-734. doi: 10.4153/CMB-1967-075-6
@article{10_4153_CMB_1967_075_6,
author = {Clark, Colin},
title = {Rellich's {Embedding} {Theorem} for a {{\textquotedblleft}Spiny} {Urchin{\textquotedblright}}},
journal = {Canadian mathematical bulletin},
pages = {731--734},
year = {1967},
volume = {10},
number = {5},
doi = {10.4153/CMB-1967-075-6},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1967-075-6/}
}
[1] 1. Clark, C., An embedding theorem for function spaces. Pacific J. Math. 19 (1966), Z43-251. Google Scholar
[2] 2. Clark, C., Some embedding theorems for Sobolev spaces defined over unbounded domains, (to appear). Google Scholar
[3] 3. Rellich, F., EinSatz liber mittlere Konvergenz, Gottinger Nachr. (1933), 30-35. Google Scholar
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