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

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 $\mathbb{R}^n$.


Published in:
Moscow Mathematical Journal, 9, 4, 899-926
Year:
2009
ISSN:
1609-3321
Keywords:
Laboratories:




 Record created 2010-04-30, last modified 2018-03-17

Publisher's version:
Download fulltextPDF
External link:
Download fulltextURL
Rate this document:

Rate this document:
1
2
3
 
(Not yet reviewed)