Geodesic
On the Poisson representation of a function harmonic in the upper half-plane
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 9 (2002) no. 2, pp. 243-248 Cet article a éte moissonné depuis la source Math-Net.Ru

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New conditions of validity of the Poisson representation (in usual and generalized form) for a function harmonic in the upper half-plane are obtained. These conditions differ from known ones by weaker growth restrictions inside the half-plane and stronger restrictions on the behavior in the neighbourhood of the real axis. 
@article{JMAG_2002_9_2_a9,
     author = {Se\c{c}il Gerg\"un and I. V. Ostrovskii},
     title = {On the {Poisson} representation of a function harmonic in the upper half-plane},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {243--248},
     year = {2002},
     volume = {9},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2002_9_2_a9/}
}
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Seçil Gergün; I. V. Ostrovskii. On the Poisson representation of a function harmonic in the upper half-plane. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 9 (2002) no. 2, pp. 243-248. http://geodesic.mathdoc.fr/item/JMAG_2002_9_2_a9/