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   Articles with "hardy inequality" as a keyword



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A short direct proof of the discrete Hardy inequality

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recommendations! Published in 2019 at "Archiv der Mathematik"

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

Some Hardy and Rellich type inequalities for affine connections

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recommendations! Published in 2024 at "Journal of Pseudo-Differential Operators and Applications"

DOI: 10.1007/s11868-024-00639-6

Abstract: In this article we study various forms of the Hardy inequality for affine connections on a complete noncompact Riemannian manifold, including the two-weight Hardy inequality, the improved Hardy inequality, the Rellich inequality, the Hardy–Poincaré inequality… read more here.

Keywords: inequality; rellich type; affine connections; type inequalities ... See more keywords

Layer potentials, Kac's problem, and refined Hardy inequality on homogeneous Carnot groups

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recommendations! Published in 2017 at "Advances in Mathematics"

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

Improvement of some discrete Hardy inequalities with variants

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recommendations! Published in 2024 at "Glasgow Mathematical Journal"

DOI: 10.1017/s0017089524000296

Abstract: Abstract In this paper, we establish a new version of one-dimensional discrete improved Hardy’s inequality with shifts by introducing a shifting discrete Dirichlet’s Laplacian. We prove that the general discrete Hardy’s inequality as well as… read more here.

Keywords: improvement discrete; discrete hardy; hardy inequalities; hardy ... See more keywords

Inductive methods for Hardy inequality on trees

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recommendations! Published in 2024 at "Ufa Mathematical Journal"

DOI: 10.13108/2024-16-2-36

Abstract: We study the Hardy inequality on at most countable rooted tree. The main known criteria in the lower - triangle case for this inequality are two Arcozzi - Rochberg - Sawyer criteria and the capacity… read more here.

Keywords: inequality trees; inequality; rochberg sawyer; case ... See more keywords