This work studies conditions that insure the existence of weak boundary values for solutions of a complex, planar, smooth vector field . Applications to the F. and M. Riesz property for vector fields are discussed.
Nous étudions dans ce travail des conditions qui assurent l'existence de valeurs au bord pour des solutions faibles d'un champ de vecteurs complexe différentiable, dans le plan. Nous donnons des applications à la propriété de F. et M. Riesz pour les champs de vecteurs.
Classification: 35F15, 35B30, 42B30, 42A38, 30E25
Keywords: weak boundary values, locally integrable vector fields, Hardy spaces, F. and M. Riesz property
@article{AIF_2003__53_5_1425_0, author = {Berhanu, Shiferaw and Hounie, Jorge}, title = {Traces and the {F.} and {M.} {Riesz} theorem for vector fields}, journal = {Annales de l'Institut Fourier}, pages = {1425--1460}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {53}, number = {5}, year = {2003}, doi = {10.5802/aif.1984}, mrnumber = {2032939}, zbl = {1037.35024}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.1984/} }
TY - JOUR TI - Traces and the F. and M. Riesz theorem for vector fields JO - Annales de l'Institut Fourier PY - 2003 DA - 2003/// SP - 1425 EP - 1460 VL - 53 IS - 5 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.1984/ UR - https://www.ams.org/mathscinet-getitem?mr=2032939 UR - https://zbmath.org/?q=an%3A1037.35024 UR - https://doi.org/10.5802/aif.1984 DO - 10.5802/aif.1984 LA - en ID - AIF_2003__53_5_1425_0 ER -
Berhanu, Shiferaw; Hounie, Jorge. Traces and the F. and M. Riesz theorem for vector fields. Annales de l'Institut Fourier, Volume 53 (2003) no. 5, pp. 1425-1460. doi : 10.5802/aif.1984. https://aif.centre-mersenne.org/articles/10.5802/aif.1984/
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