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.
Sharp weighted Rellich and uncertainty principle inequalities on Carnot groups.Commun
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AP 1years
2024 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
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.