On the Closure of Smooth Compactly Supported Functions in Weighted Hölder Spaces

被引：0
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作者：
K. V. Sidorova (Gagelgans)
A. A. Shlapunov
机构：
[1] Siberian Federal University,
来源：
Mathematical Notes | 2019年 / 105卷
关键词：
weighted Hölder spaces; de Rham complex;
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摘要：
The closure of the set of smooth compactly supported functions in a weighted Hölder 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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页码：604 / 617
页数：13
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