Email this article On the Closure of Smooth Compactly Supported Functions in Weighted Hölder Spaces
- Authors: Sidorova (Gagelgans) K.V.1, Shlapunov A.A.1
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Affiliations:
- Siberian Federal University
- Issue: Vol 105, No 3-4 (2019)
- Pages: 604-617
- Section: Article
- URL: https://journals.rcsi.science/0001-4346/article/view/151700
- DOI: https://doi.org/10.1134/S0001434619030337
- ID: 151700
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Abstract
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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About the authors
K. V. Sidorova (Gagelgans)
Siberian Federal University
Author for correspondence.
Email: ksenija.sidorova2017@yandex.ru
Russian Federation, Krasnoyarsk, 660041
A. A. Shlapunov
Siberian Federal University
Author for correspondence.
Email: ashlapunov@sfu-kras.ru
Russian Federation, Krasnoyarsk, 660041
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