Geodesic
Cyclic Vectors in Some Weighted Lp Spaces of Entire Functions
Canadian mathematical bulletin, Tome 51 (2008) no. 3, pp. 378-385

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DOI

In this paper, we generalize a result recently obtained by the author. We characterize the cyclic vectors in $L_{a}^{p}\,\left( \mathbb{C},\,\phi\right)$ . Let $f\,\in \,L_{a}^{p}\,\left( \mathbb{C},\,\phi\right)$ and $fC$ be contained in the space. We show that $f$ is non-vanishing if and only if $f$ is cyclic.
DOI : 10.4153/CMB-2008-038-9
Mots-clés : 47A16, 46J15, 46H25, weighted, Lp spaces of entire functions, cyclic vectors 
Izuchi, Kou Hei. Cyclic Vectors in Some Weighted Lp Spaces of Entire Functions. Canadian mathematical bulletin, Tome 51 (2008) no. 3, pp. 378-385. doi: 10.4153/CMB-2008-038-9
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     author = {Izuchi, Kou Hei},
     title = {Cyclic {Vectors} in {Some} {Weighted} {Lp} {Spaces} of {Entire} {Functions}},
     journal = {Canadian mathematical bulletin},
     pages = {378--385},
     year = {2008},
     volume = {51},
     number = {3},
     doi = {10.4153/CMB-2008-038-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2008-038-9/}
}
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