A fundamental algebraic identity yields a unified proof of L^p Hardy and Rellich inequalities with explicit maximizing-sequence control and sharp constants for subelliptic divergence-form operators on Euclidean spaces, Heisenberg groups, Carnot groups, and specific operators like Heisenberg-Greiner.
The sharp higher order hardy–rellich type inequalities on the homogeneous groups
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A unified approach to $L^p$ Hardy and Rellich-type inequalities in Euclidean and non-Euclidean settings
A fundamental algebraic identity yields a unified proof of L^p Hardy and Rellich inequalities with explicit maximizing-sequence control and sharp constants for subelliptic divergence-form operators on Euclidean spaces, Heisenberg groups, Carnot groups, and specific operators like Heisenberg-Greiner.