Conjugate harmonic functions and Clifford algebras

DOI10.1016/j.jmaa.2004.08.008zbMath1064.30050OpenAlexW2115062655MaRDI QIDQ1763405

Craig A. Nolder

Publication date: 22 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.08.008

zbMATH Keywords

Clifford algebraconjugate harmonic function

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35)

Related Items (11)

Clifford valued weighted variable exponent spaces with an application to obstacle problems ⋮ Carathéodory operator of differential forms ⋮ Estimates for the composition of the Carathéodory and homotopy operators ⋮ Conjugate harmonic functions of Fueter type ⋮ Solutions of inhomogeneous generalized Moisil-Teodorescu systems in Euclidean space ⋮ A. Kolmogorov and M. Riesz Theorems for Octonion-valued Monogenic Functions ⋮ Nonlinear parabolic systems in Clifford type analysis ⋮ Some priori estimates about solutions to nonhomogeneous \(A\)-harmonic equations ⋮ Conjugate harmonic functions in Euclidean space: a spherical approach ⋮ Solutions of inhomogeneous perturbed generalized Moisil-Teodorescu system and Maxwell's equations in Euclidean space ⋮ On \(p\)-harmonic mappings in the plane

Cites Work

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• On the theory of harmonic functions of several variables
• Hardy-Littlewood theorems for \(A\)-harmonic tensors
• Lipschitz classes and quasiconformla mappings
• Hardy-Littlewood inequality for quasiregular mappings in certain domains in R^n
• Mean Oscillation Over Cubes and Holder Continuity

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