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Moscow Mathematical Journal, 2009, Volume 9, Number 4, Pages 899–926
DOI: https://doi.org/10.17323/1609-4514-2009-9-4-899-926 (Mi mmj370) 		 
This article is cited in 10 scientific papers (total in 10 papers)

On the Hodge decomposition in $\mathbb R^n$

Marc Troyanov

Section de Mathématiques, École Polytechnique Féderale de Lausanne, Lausanne, Switzerland
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DOI: https://doi.org/10.17323/1609-4514-2009-9-4-899-926
Abstract: We prove a version of $L^p$-Hodge decomposition for differential forms in Euclidean space and a generalization to the class of Lizorkin currents. Using these tools, we also compute $L_{q,p}$-cohomology of $\mathbb R^n$.
Key words and phrases: Hodge decomposition, temperate currents, Lizorkin currents.
Received: January 11, 2008
Bibliographic databases:
Document Type: Article
MSC: 58A10, 42B, 42B20, 58A14
Language: English
Citation: Marc Troyanov, “On the Hodge decomposition in $\mathbb R^n$”, Mosc. Math. J., 9:4 (2009), 899–926
Citation in format AMSBIB
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\by Marc~Troyanov
\paper On the Hodge decomposition in $\mathbb R^n$
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\yr 2009
\vol 9
\issue 4
\pages 899--926
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    • This publication is cited in the following 10 articles:
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