Hardy-Hodge decomposition of vector fields in ℝⁿ

DOI10.1090/tran/7202zbMath1385.42018arXiv1702.04233OpenAlexW2605315057MaRDI QIDQ4600438

Pei Dang, Tao Qian, Laurent Baratchart

Publication date: 9 January 2018

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.04233

zbMATH Keywords

Hodge decompositionHardy spacesClifford analysis

Mathematics Subject Classification ID

(H^p)-spaces (42B30) Singular integrals of functions in several complex variables (32A55)

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Cites Work

• Clifford algebras, Fourier transforms and singular convolution operators on Lipschitz surfaces
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• A unified transform method for solving linear and certain nonlinear PDEs
• Characterizing kernels of operators related to thin-plate magnetizations via generalizations of Hodge decompositions
• Fourier analysis on starlike Lipschitz surfaces
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