Fundamental solution and sharp \(L^p\) estimates for Laplace operators in the contact complex of Heisenberg groups

DOI10.1007/s11587-006-0009-7zbMath1220.43003OpenAlexW2025228570MaRDI QIDQ997558

Maria Carla Tesi, Annalisa Baldi, Bruno Franchi

Publication date: 7 August 2007

Published in: Ricerche di Matematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11587-006-0009-7

zbMATH Keywords

Fundamental solution Heisenberg groups Laplace operators Differential forms Currents

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Differential forms in global analysis (58A10) Analysis on other specific Lie groups (43A80) Currents in global analysis (58A25)

Related Items (6)

WAVE AND MAXWELL'S EQUATIONS IN CARNOT GROUPS ⋮ Hypoellipticity, fundamental solution and Liouville type theorem for matrix-valued differential operators in Carnot groups ⋮ Maximal Hypoellipticity for Left-Invariant Differential Operators on Lie Groups ⋮ Limiting Sobolev and Hardy inequalities on stratified homogeneous groups ⋮ On a class of semilinear evolution equations for vector potentials associated with Maxwell's equations in Carnot groups ⋮ Compensated compactness for differential forms in Carnot groups and applications

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