Gagliardo-Nirenberg Inequalities for Horizontal Vector Fields in the Engel Group and in the Seven-Dimensional Quaternionic Heisenberg Group

DOI10.1007/978-3-319-02666-4_16zbMath1335.35263OpenAlexW2462237933MaRDI QIDQ2800126

Annalisa Baldi, Bruno Franchi, Francesca Tripaldi

Publication date: 14 April 2016

Published in: Geometric Methods in PDE’s (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-02666-4_16

zbMATH Keywords

differential formsEngel groupdiv-curl systemsGagliardo-Nirenberg inequalitiesquaternionic Heisenberg groups

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities for sums, series and integrals (26D15) Differential forms in global analysis (58A10) Analysis on other specific Lie groups (43A80) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) Systems of linear first-order PDEs (35F35)

Related Items (4)

A recursive basis for primitive forms in symplectic spaces and applications to Heisenberg groups ⋮ Gagliardo-Nirenberg inequalities for differential forms in Heisenberg groups ⋮ POINCARÉ AND SOBOLEV INEQUALITIES FOR DIFFERENTIAL FORMS IN HEISENBERG GROUPS AND CONTACT MANIFOLDS ⋮ An alternative construction of the Rumin complex on homogeneous nilpotent Lie groups

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