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Abstract: We show that divergence free vector fields which belong to L^1 on stratified,nilpotent groups are in the dual space of functions whose sub-gradient are L^Qintegrable where Q is the homogeneous dimension of the group. This was firstobtained on Euclidean space by Bourgain and Brezis.



Author: Sagun Chanillo, Jean Van Schaftingen

Source: https://arxiv.org/







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