Geodesic
The diagonal mapping in general Hardy spaces in the polidisk
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 31, Tome 303 (2003), pp. 218-222 Cet article a éte moissonné depuis la source Math-Net.Ru

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For $p=(p_1,p_2)$, $1, $i=1,2$, let $H^{p_1,p_2}$ be the Hardy class on the bidisk with mixed norm. We give a complete discription of all holomorphic function $\varphi$ in the unit disk that are representable in the form $\varphi(z)=f(z,z)$, $|z|<1$, with $f\in H^{p_1,p_2}$. 
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N. A. Chasova; F. A. Shamoyan. The diagonal mapping in general Hardy spaces in the polidisk. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 31, Tome 303 (2003), pp. 218-222. http://geodesic.mathdoc.fr/item/ZNSL_2003_303_a11/

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