Decomposition of $L^{2}$-Vector Fields on Lipschitz Surfaces: Characterization via Null-Spaces of the Scalar Potential

DOI10.1137/20M1387754zbMath1469.31008arXiv2009.05337MaRDI QIDQ5003339

Alexander Kegeles, Laurent Baratchart, Christian Gerhards

Publication date: 21 July 2021

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.05337

zbMATH Keywords

potential theoryHardy spacesharmonic functionslayer potentialsorthogonal sum decompositionHardy-Hodge decomposition

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) (H^p)-spaces (42B30) Hardy spaces (30H10)

Related Items

Relation between Hardy components for locally supported vector fields on the sphere ⋮ Unique reconstruction of simple magnetizations from their magnetic potential

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