On the Hodge decomposition in R^n

Details On the Hodge decomposition in R^n On the Hodge decomposition in R^n

2007-10-29

arxiv.org/abs/0710.5414v2

Moscow Mathematical Journal Vol. 9, No 4, (2009), 899--926.

Mathematics

Functional Analysis

28 pages

Scientific paper

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 $\mathbb{R}^n$.

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