The sharp higher-order Lorentz-Poincaré and Lorentz-Sobolev inequalities in the hyperbolic spaces

DOI10.1007/s10231-021-01072-yzbMath1480.46046arXiv2001.03950OpenAlexW3131397601WikidataQ115605909 ScholiaQ115605909MaRDI QIDQ2041496

Nguyen Van Hoang

Publication date: 23 July 2021

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.03950

zbMATH Keywords

Poincaré inequalityhyperbolic spacePoincaré-Sobolev inequalityLorentz-Sobolev space

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) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (1)

Improved Poincaré-Hardy inequalities on certain subspaces of the Sobolev space

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