Recently, Bourgain & Brezis and Lanzani & Stein considered a class of div-curl inequalities in de Rham's complex. In this note we prove the natural counterpart of these inequalities for horizontal vector fields in the Engel group and in the 7-dimensional quaternionic Heisenberg group.
Gagliardo-Nirenberg Inequalities for Horizontal Vector Fields in the Engel Group and in the Seven-Dimensional Quaternionic Heisenberg Group
BALDI, ANNALISA;FRANCHI, BRUNO;
2015
Abstract
Recently, Bourgain & Brezis and Lanzani & Stein considered a class of div-curl inequalities in de Rham's complex. In this note we prove the natural counterpart of these inequalities for horizontal vector fields in the Engel group and in the 7-dimensional quaternionic Heisenberg group.File in questo prodotto:
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