@article{baratchart:hal-03086446, TITLE = {{Decomposition of L2-vector fields on Lipschitz surfaces: characterization via null-spaces of the scalar potential}}, AUTHOR = {Baratchart, Laurent and Gerhards, Christian and Kegeles, Alexander}, URL = {https://inria.hal.science/hal-03086446}, JOURNAL = {{SIAM Journal on Mathematical Analysis}}, PUBLISHER = {{Society for Industrial and Applied Mathematics}}, VOLUME = {53}, NUMBER = {4}, PAGES = {4096 - 4117}, YEAR = {2021}, DOI = {10.1137/20M1387754}, KEYWORDS = {Hardy-Hodge decomposition ; Hardy spaces ; potential theory ; orthogonal sum decomposition ; harmonic functions ; layer potentials}, PDF = {https://inria.hal.science/hal-03086446/file/draft_final.pdf}, HAL_ID = {hal-03086446}, HAL_VERSION = {v1}, }