Geodesic
The converse of the Fatou theorem for smooth measures
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 32, Tome 315 (2004), pp. 90-95 
E. Doubtsov. The converse of the Fatou theorem for smooth measures. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 32, Tome 315 (2004), pp. 90-95. http://geodesic.mathdoc.fr/item/ZNSL_2004_315_a5/
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     author = {E. Doubtsov},
     title = {The converse of the {Fatou} theorem for smooth measures},
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     volume = {315},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2004_315_a5/}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

We prove the converse of the Fatou theorem for small Zygmund measures defined on the Euclidean space.

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