File:Sobolev embedding theorem (Morrey case).svg
Summary
| Description |
English: A DeVore-Triebel diagram describing the Sobolev embedding based on Morrey's inequality. A point (k, 1/p) represents the Sobolev space W^{k,p}. The space W^{3,p} (blue dot) embeds into the space C^{1,α} (red dot), which is the intersection of a line with slope n (space dimension) with the y-axis. The grey dot indicates an embedding into some W^{2,q} by the normal Sobolev embedding. The white dots at (0,k) for k ≥ 0 indicate that lines directly hitting these points will not result in C^k-embeddings. |
| Date | |
| Source | Own work |
| Author | Florian Sonner |
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