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math.AP2016
Critical Hardy inequalities
Michael Ruzhansky, Durvudkhan Suragan
We prove a range of critical Hardy inequalities and uncertainty type principles on one of most general subclasses of nilpotent Lie groups, namely the class of homogeneous groups. M…
math.AP2016★ 13 cited
Local Hardy and Rellich inequalities for sums of squares of vector fields
Michael Ruzhansky, Durvudkhan Suragan
We prove local refined versions of Hardy's and Rellich's inequalities as well as of uncertainty principles for sums of squares of vector fields on bounded sets of smooth manifolds…