Abstract For a closed set A ⊂ ℝn a representation theorem for locally defined operators maping the space Ck,ω(A) consisting of all k-times continuously differentiable functions on A whose k-th derivatives have modulus of continuity ω into C0,ω(A) is presented.

中文翻译：

---

Ck,ω-函数空间中的局部定义算子

摘要 对于闭集 A ⊂ ℝn，局部定义算子的表示定理映射空间 Ck,ω(A) 由 A 上的所有 k 次连续可微函数组成，其 k 次导数具有连续性模数 ω 到 C0,ω( A) 呈现。