| | space of uniformly continuous functions with bounded support |
| | space of continuous functions |
| | space of bounded continuous functions |
| | space of continuous functions with support included in the compact set K ⊂ Ω |
| | space of gradients of continuous functions |
| | set of positive continuous real functions |
| | space of m times continuously differentiable functions, and the case m = ∞ |
| | id. with bounded derivatives, and the case m = ∞ |
| | id. with support included in the compact set K ⊂ Ω, and the case m = ∞ |
| | space defined on the closure of a bounded open set |
| | set of functions in taking values in the set U |
| C(Ω; E) | space of uniformly continuous functions |
| Cb(Ω; E) | space of bounded uniformly continuous functions |
| CD (Ω; E) | id. with support included in the compact subset D of ℝd |
| | space with uniformly continuous bounded derivatives, and the case m = ∞ |
| | space of continuous functions with compact support |
| | id. m times continuously differentiable, and the case m = ∞ |