On the weighted \(L^{2}\) estimate for the \(k\)-Cauchy-Fueter operator and the weighted \(k\)-Bergman kernel

DOI10.1016/j.jmaa.2017.03.016zbMath1375.30081arXiv1704.02435OpenAlexW2591840641MaRDI QIDQ2400679

Wei Wang

Publication date: 29 August 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.02435

zbMATH Keywords

\(k\)-Cauchy-Fueter operatorweighted \(k\)-Bergman space

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Bergman spaces of functions in several complex variables (32A36)

Related Items (4)

The resolution of Euclidean massless field operators of higher spins on \(\mathbb{R}^6\) and the \(L^2\) method ⋮ The Neumann problem for the \(k\)-Cauchy-Fueter complex over \(k\)-pseudoconvex domains in \(\mathbb{R}^4\) and the \(L^2\) estimate ⋮ On quaternionic complexes over unimodular quaternionic manifolds ⋮ The tangential \(k\)-Cauchy-Fueter complexes and Hartogs' phenomenon over the right quaternionic Heisenberg group

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