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

• Published in: Moscow Mathematical Journal (ISSN: 1609-3321), vol. 9, num. 4, p. 899-926
• Publication date: 2009

We prove a version of the $L^p$ hodge decomposition for differential forms in Euclidean space and a generalization to the class of Lizorkin currents. We also compute the $L_{qp}-$cohomology of $\mathbb{R}^n$.

Keywords: Hodge decomposition, temperate currents, Lizorkin currents.

Reference

• EPFL-ARTICLE-148611
• doi:NA
• View record in Web of Science

• URL: http://www.ams.org/distribution/mmj/vol9-4-2009/cont9-4-2009.html

Record created on 2010-04-30, modified on 2012-03-21