Abstract
The closure of the set of smooth compactly supported functions in a weighted Holder space on ℝn, n ≥ 1, with a weight controlling the behavior at the point at infinity is described. As an application, a solvability criterion for operator equations generated by de Rham differentials both in these spaces and on the closure of the set of smooth compactly supported functions in them for n ≥ 2 is obtained.
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