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Matematicheskie Zametki, 2019, Volume 105, Issue 4, Pages 616–631
DOI: https://doi.org/10.4213/mzm11924 (Mi mzm11924) 		 
This article is cited in 3 scientific papers (total in 3 papers)

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

K. V. Sidorova (Gagelgans), A. A. Shlapunov

Siberian Federal University, Krasnoyarsk
Full-text PDF (611 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm11924
Abstract: The closure of the set of smooth compactly supported functions in a weighted Hölder space on $\mathbb R^n$, $n\ge 1$, 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 $n\ge 2$ is obtained.
Keywords: weighted Hölder spaces, de Rham complex.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 14.Y26.31.0006
1.2604.2017/ПЧ
The work of the first author was supported by the Scientific Research Program of the Government of the Russian Federation under contract 14.Y26.31.0006. The work of the second author was supported by the Ministry of Education and Science of the Russian Federation under grant 1.2604.2017/PCh.
Received: 12.01.2018
English version:
Mathematical Notes, 2019, Volume 105, Issue 4, Pages 604–617
DOI: https://doi.org/10.1134/S0001434619030337
Bibliographic databases:
Document Type: Article
UDC: 517
Language: Russian
Citation: K. V. Sidorova (Gagelgans), A. A. Shlapunov, “On the Closure of Smooth Compactly Supported Functions in Weighted Hölder Spaces”, Mat. Zametki, 105:4 (2019), 616–631; Math. Notes, 105:4 (2019), 604–617
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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