Geodesic
On a criterion of belonging to the Hardy class $H_p(\mathbb C_{+})$ up to exponential factor
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 10 (2003) no. 4, pp. 490-497 Cet article a éte moissonné depuis la source Math-Net.Ru

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A criterion of belonging to the Hardy class $H_p(\mathbb C_{+})$ up to factor $e^{ikz}$ is obtained. It deals with functions $f$ analytic in $\mathbb C_{+}$, having Blaschke zero-sets, and satisfying the condition $|f(z)|\leq \exp\{|{\mathrm{Im}}\,z|^{-1}\exp(o(|z|))\}$, $z\to\infty$, $z\in\mathbb C_{+}$. 
@article{JMAG_2003_10_4_a3,
     author = {Se\c{c}il Gerg\"un and I. V. Ostrovskii},
     title = {On a criterion of belonging to the {Hardy} class $H_p(\mathbb C_{+})$ up to exponential factor},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {490--497},
     year = {2003},
     volume = {10},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2003_10_4_a3/}
}
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Seçil Gergün; I. V. Ostrovskii. On a criterion of belonging to the Hardy class $H_p(\mathbb C_{+})$ up to exponential factor. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 10 (2003) no. 4, pp. 490-497. http://geodesic.mathdoc.fr/item/JMAG_2003_10_4_a3/