… We consider Hardy–Rellichinequalities and discuss their possible improvement. The … inequalities are obtained (eg Rellich–Sobolev inequalities). We discuss also the optimality of these …
NT Duy, N Lam, NA Triet - Journal of Spectral Theory, 2020 - ems.press
… Our motivation of this note is the approach in [12] where Gesztesy and Littlejohn applied factorizations of singular, even-order partial differential operators to provide simple proofs …
A Moradifam - Journal of the London Mathematical Society, 2011 - academic.oup.com
… about improvedHardy– Rellichinequalities and the inequalities … to prove optimal weighted Hardy–Rellichinequalities on H … can prove various improvedHardy–Rellichinequalities on H …
… dx, improving in many ways several recent results in [32]. Theorem 1.1 also leads to certain improvedHardy–Rellichinequalities that are crucial in studying the regularity of the extremal …
B Das, A Manna - arXiv preprint arXiv:2309.04923, 2023 - arxiv.org
… (−∆Λ), we establish an extended improved discrete Hardy’s inequality and Rellich inequality in one dimension. We prove that the discrete Copson inequality (ET Copson, Notes on a …
… We also prove several improved Hardy and Rellich type inequalities in hyperbolic space … improvements for these Hardy type inequalities. Section 4, we prove Rellich type inequalities (…
C Cazacu - Proceedings of the Royal Society of Edinburgh Section …, 2020 - cambridge.org
The Hardy-Rellichinequality in the whole space with the best constant was firstly proved by … an easy and compact proof of the optimal Hardy–Rellichinequality in any dimension N ⩾ 3. …
… Happy Birthday, Helge, we hope our modest contribution to Hardy–Rellichtype inequalities will give some joy. … Yang, An improvedHardy–Rellichinequality with optimal constant, J. …
D Yafaev - Journal of Functional Analysis, 1999 - core.ac.uk
… Here we show that the constants Cl in Theorem 2.9 cannot be improved. Actually, we shall check that the constants Cl are optimal even on the ``narrow'' class u # C0 (Rd "[0]) when …