The Paneitz operator on the anisotropic quaternionic Heisenberg group

DOI10.1080/17476933.2020.1807963zbMath1478.35216OpenAlexW3083647024MaRDI QIDQ5860815

Bo Chen, Haimeng Wang

Publication date: 23 November 2021

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2020.1807963

zbMATH Keywords

Paneitz operatorgroup Fourier transformanisotropic quaternionic Heisenberg group

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Subelliptic equations (35H20) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items (1)

An operator related to the sub-Laplacian on the quaternionic Heisenberg group

Cites Work

• Unnamed Item
• The tangential Cauchy-Fueter complex on the quaternionic Heisenberg group
• Laguerre calculus and Paneitz operator on the Heisenberg group
• Analysis of the Kohn Laplacian on quadratic CR manifolds.
• On fundamental solution for powers of the sub-Laplacian on the Heisenberg group
• Anisotropic quaternion Carnot groups: Geometric analysis and Green function
• On octonionic regular functions and the Szegő projection on the octonionic Heisenberg group
• On the tangential Cauchy-Fueter operators on nondegenerate quadratic hypersurfaces in \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}${\mathbb {H}^2}$\end{document}
• Estimates for powers of sub-Laplacian on the non-isotropic Heisenberg group

This page was built for publication: The Paneitz operator on the anisotropic quaternionic Heisenberg group