Traces and the F. and M. Riesz theorem for vector fields
[Traces et théorème de F. et M. Riesz pour les champs de vecteurs]
Berhanu, Shiferaw1 ; Hounie, Jorge2
1 Temple University, Department of Mathematics, Philadelphia PA 19122-6094 (USA)
2 UFSCar, Departamento de Matemática, 13565.905 São Carlos SP (Brazil)
Annales de l'Institut Fourier, Tome 53 (2003) no. 5, pp. 1425-1460.

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.

This work studies conditions that insure the existence of weak boundary values for solutions of a complex, planar, smooth vector field L. Applications to the F. and M. Riesz property for vector fields are discussed.

DOI : 10.5802/aif.1984
Classification : 35F15, 35B30, 42B30, 42A38, 30E25
Keywords: weak boundary values, locally integrable vector fields, Hardy spaces, F. and M. Riesz property
Mot clés : valeurs faiblement bornées, champs de vecteurs intégrables localement, espaces de Hardy, propriété de F. et M. Riesz
Berhanu, Shiferaw 1 ; Hounie, Jorge 2

1 Temple University, Department of Mathematics, Philadelphia PA 19122-6094 (USA)
2 UFSCar, Departamento de Matemática, 13565.905 São Carlos SP (Brazil) 
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Berhanu, Shiferaw; Hounie, Jorge. Traces and the F. and M. Riesz theorem for vector fields. Annales de l'Institut Fourier, Tome 53 (2003) no. 5, pp. 1425-1460. doi : 10.5802/aif.1984. https://www.numdam.org/articles/10.5802/aif.1984/

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