Geodesic
On the cyclic elements of the shift operator in a weighted anisotropic space of holomorphic function in the polydisc
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 33, Tome 327 (2005), pp. 226-234 Cet article a éte moissonné depuis la source Math-Net.Ru

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Let $\varphi(r)=(\varphi_1(r_1),\dots,\varphi_n(r_n))$ be a vector-valued function on $\mathbf R^n_+$. A necessary and sufficiently condition is obtained for every $f\in H^\infty(\mathbf D^n)$, $f(z)\ne 0$, $z\in \mathbf D^n$ to be cyclic in the corresponding $L^p(\varphi)$ weighted space, where $\mathbf D^n$ is unit polydisc in $\mathbf C^n$. 
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     author = {F. A. Shamoyan},
     title = {On the cyclic elements of the shift operator in a~weighted anisotropic space of holomorphic function in the polydisc},
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}
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F. A. Shamoyan. On the cyclic elements of the shift operator in a weighted anisotropic space of holomorphic function in the polydisc. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 33, Tome 327 (2005), pp. 226-234. http://geodesic.mathdoc.fr/item/ZNSL_2005_327_a12/

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