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We give a sufficient condition for limiting Sobolev and Hardy inequalities tohold on stratified homogeneous groups. In the Euclidean case, this conditionreduces to the known cancelling necessary and sufficient condition. We obtainin particular endpoint Korn--Sobolev and Korn--Hardy inequalities on stratifiedhomogeneous groups.

Limiting Sobolev and Hardy inequalities on stratified homogeneous groups