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Hardy Type Inequalities Related to Degenerate Elliptic Differential Operators
, 2006
"... We prove some Hardy type inequalities related to quasilinear second order degenerate elliptic differential operators Lpu: = − ∇ ∗ L (|∇Lu | p−2 ∇Lu). If φ is a positive weight such that −Lpφ ≥ 0, then the Hardy type inequality |u| ..."
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We prove some Hardy type inequalities related to quasilinear second order degenerate elliptic differential operators Lpu: = − ∇ ∗ L (|∇Lu | p−2 ∇Lu). If φ is a positive weight such that −Lpφ ≥ 0, then the Hardy type inequality |u|
HARDY, RELLICH AND UNCERTAINTY PRINCIPLE INEQUALITIES ON CARNOT GROUPS
, 2006
"... In this paper we prove sharp weighted Hardy-type inequalities on Carnot groups with the homogeneous norm N = u 1/(2−Q) associated to Folland’s fundamental solution u for the sub-Laplacian ∆G. We also prove uncertainty principle, Caffarelli- ..."
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In this paper we prove sharp weighted Hardy-type inequalities on Carnot groups with the homogeneous norm N = u 1/(2−Q) associated to Folland’s fundamental solution u for the sub-Laplacian ∆G. We also prove uncertainty principle, Caffarelli-

