Weighted Hardy’s inequalities and Kolmogorov-type operators

DOI10.1080/00036811.2017.1419200zbMath1412.35160arXiv1703.10567OpenAlexW2625533694MaRDI QIDQ5741684

Federica Gregorio, Abdelaziz Rhandi, Cristian Tacelli, Anna Canale

Publication date: 15 May 2019

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.10567

zbMATH Keywords

invariant measure\(C_0\)-semigroupHardy's inequalityinverse-square potentialOrnstein-Uhlenbeck operators

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Degenerate parabolic equations (35K65) Groups and semigroups of linear operators (47D03) Initial value problems for second-order parabolic equations (35K15) Linear differential equations in abstract spaces (34G10)

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Weighted multipolar Hardy inequalities and evolution problems with Kolmogorov operators perturbed by singular potentials, A class of weighted Hardy inequalities and applications to evolution problems, Best constants in bipolar \(L^p\) Hardy-type inequalities, Fourth‐order Schrödinger type operator with unbounded coefficients in L²(ℝ^N), A class of weighted Hardy type inequalities in \(\mathbb{R}^N\), Some results on second-order elliptic operators with polynomially growing coefficients in \(L^p\)-spaces, Bi-Kolmogorov type operators And weighted Rellich's inequalities, Local and non-local improved Hardy inequalities with weights, Instantaneous blowup and singular potentials on Heisenberg groups

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