Higher-order multilinear Poincaré and Sobolev inequalities in Carnot groups

DOI10.1007/s11118-013-9347-8zbMath1303.26019arXiv1008.0414OpenAlexW2030637773MaRDI QIDQ2248972

Kabe Moen, Virginia Naibo

Publication date: 27 June 2014

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

Full work available at URL: https://arxiv.org/abs/1008.0414

zbMATH Keywords

multilinear operatorsCarnot groupsstratified Lie groupssub-elliptic Poincaré inequalities

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Inequalities involving derivatives and differential and integral operators (26D10) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items

Bilinear Sobolev-Poincaré inequalities and Leibniz-type rules, New weighted estimates for bilinear fractional integral operators, Higher-order compact embeddings of function spaces on Carnot-Carathéodory spaces, Higher‐order Sobolev‐type embeddings on Carnot–Carathéodory spaces

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