Sharp Hardy-Adams inequalities for bi-Laplacian on hyperbolic space of dimension four

DOI10.1016/j.aim.2017.08.014zbMath1384.46026arXiv1703.08149OpenAlexW2607650249MaRDI QIDQ2404645

Guozhen Lu, Qiao-Hua Yang

Publication date: 19 September 2017

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.08149

zbMATH Keywords

Hardy inequalitiesAdams inequalitiesFourier transform and Plancherel formula on hyperbolic spacesfractional Laplacians and Paneitz operatorsHarish-Chandra \(\mathfrak{c}\)-function

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) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational methods for second-order elliptic equations (35J20) Inequalities involving derivatives and differential and integral operators (26D10) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

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