Equivalent and attained version of Hardy's inequality in \(\mathbb{R}^n\)

DOI10.1016/j.jfa.2018.09.008zbMath1405.26016arXiv1711.03763OpenAlexW2894734297WikidataQ59278457 ScholiaQ59278457MaRDI QIDQ1800363

Daniele Cassani, Bernhard Ruf, Cristina Tarsi

Publication date: 23 October 2018

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.03763

zbMATH Keywords

Hardy inequalitybest constantsSobolev-Lorentz spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Inequalities involving derivatives and differential and integral operators (26D10)

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On a parabolic equation, involving inverse square potential, defined on the whole space ⋮ A note on the embedding theorems for Sobolev-Lorentz spaces ⋮ The sharp Sobolev type inequalities in the Lorentz-Sobolev spaces in the hyperbolic spaces ⋮ Remarks on a limiting case of Hardy type inequalities ⋮ On the capacity approach to non-attainability of Hardy's inequality in \(\mathbb{R}^N\) ⋮ On a Hilbert-type inequality with the kernel involving extended Hardy operator ⋮ The sharp higher-order Lorentz-Poincaré and Lorentz-Sobolev inequalities in the hyperbolic spaces

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