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math.CV2001
An F. and M. Riesz theorem for planar vector fields
S. Berhanu, J. Hounie
We prove that solutions of the homogeneous equation , where is a locally integrable vector field with smooth coefficients in two variables possess the F. and M. Riesz pro…
math.CV2001
A strong uniqueness theorem for planar vector fields
S. Berhanu, J. Hounie
This work establishes a strong uniqueness property for a class of planar locally integrable vector fields. A result on pointwise convergence to the boundary value is also proved fo…