The Neumann problem for the \(k\)-Cauchy-Fueter complex over \(k\)-pseudoconvex domains in \(\mathbb{R}^4\) and the \(L^2\) estimate

DOI10.1007/s12220-018-0037-zzbMath1419.30033arXiv1704.02856OpenAlexW2614201229MaRDI QIDQ2419732

Wei Wang

Publication date: 14 June 2019

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.02856

zbMATH Keywords

\(k\)-Cauchy-Fueter complex\(k\)-Cauchy-Fueter operator\(k\)-plurisubharmonic functions\(k\)-pseudoconvex domainsmultidimensional quaternionic space

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Plurisubharmonic functions and generalizations (32U05) Pseudoconvex domains (32T99)

Related Items (8)

The resolution of Euclidean massless field operators of higher spins on \(\mathbb{R}^6\) and the \(L^2\) method ⋮ On the weighted \(L^{2}\) estimate for the \(k\)-Cauchy-Fueter operator and the weighted \(k\)-Bergman kernel ⋮ Cauchy–Szegö commutators on weighted Morrey spaces ⋮ On the boundary complex of the \(k\)-Cauchy-Fueter complex ⋮ Hartogs phenomena for discrete \(k\)-Cauchy-Fueter operators ⋮ On quaternionic complexes over unimodular quaternionic manifolds ⋮ The tangential \(k\)-Cauchy-Fueter complexes and Hartogs' phenomenon over the right quaternionic Heisenberg group ⋮ Fischer decomposition of massless fields for spin 3/2 in dimension 4

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