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Primitives of volume forms in Carnot groups
Annalisa Baldi, Bruno Franchi, Pierre Pansu
In the Euclidean space it is known that a function of a ball, with vanishing average,is the divergence of a vector field with$$\| F\|\_{ L^2(B)} \le C \|f\|\_…
math.AP2024
Continuous primitives for higher degree differential forms in Euclidean spaces, Heisenberg groups and applications
Annalisa Baldi, Bruno Franchi, Pierre Pansu
It is shown that higher degree exact differential forms on compact Riemannian -manifolds possess continuous primitives whose uniform norm is controlled by their norm. A co…