A short direct proof of the discrete Hardy inequality
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DOI: 10.1007/s00013-019-01395-6
Abstract: The purpose of this note is to expose a short proof of Hardy’s inequality in the sequence case. The proof is straightforward and provides the optimal constant $$p'$$ p ′ . read more here.
Keywords: short direct; direct proof; proof; proof discrete ... See more keywords
Layer potentials, Kac's problem, and refined Hardy inequality on homogeneous Carnot groups
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DOI: 10.1016/j.aim.2016.12.013
Abstract: Abstract We propose the analogues of boundary layer potentials for the sub-Laplacian on homogeneous Carnot groups/stratified Lie groups and prove continuity results for them. In particular, we show continuity of the single layer potential and… read more here.
Keywords: sub laplacian; carnot groups; layer potentials; homogeneous carnot ... See more keywords