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

Troyanov, Marc2010-04-302010-04-302010-04-302009https://infoscience.epfl.ch/handle/20.500.14299/49853WOS:000273089600009We 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 $\mathbb{R}^n$.Hodge decompositiontemperate currentsLizorkin currents.On the Hodge decomposition in $\mathbb{R}^n$text::journal::journal article::research article