The tangential \(k\)-Cauchy-Fueter complexes and Hartogs' phenomenon over the right quaternionic Heisenberg group

DOI10.1007/s10231-019-00895-0zbMath1447.58022arXiv1809.03748OpenAlexW2970610963MaRDI QIDQ2309442

Wei Wang, Yun Shi

Publication date: 1 April 2020

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

Full work available at URL: https://arxiv.org/abs/1809.03748

zbMATH Keywords

Hartogs' phenomenon\(L^2\) estimatetangential \(k\)-Cauchy-Fueter complexnonhomogeneous equation under compatibility conditionright quaternionic Heisenberg group

Mathematics Subject Classification ID

General theory of conformal mappings (30C35) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Differential complexes (58J10) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15)

Related Items (5)

On the boundary complex of the \(k\)-Cauchy-Fueter complex ⋮ The tangential \(k\)-Cauchy-Fueter operator on right-type groups and its Bochner-Martinelli type formula ⋮ The Penrose transform and the exactness of the tangential \(k\)-Cauchy-Fueter complex on the Heisenberg group ⋮ The quaternionic Monge-Ampère operator and plurisubharmonic functions on the Heisenberg group ⋮ The tangential \(k\)-Cauchy-Fueter operator and \(k\)-CF functions over the Heisenberg group

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