Geodesic
Weakly invertible elements in anisotropic weighted spaces
Sbornik. Mathematics, Tome 193 (2002) no. 6, pp. 925-943 Cet article a éte moissonné depuis la source Math-Net.Ru

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The question of weak invertibility is studied in weighted $L^p$-spaces of holomorphic functions in a polydisc. A complete description of weight functions such that each non-vanishing bounded holomorphic function in a polydisc is weakly invertible in the corresponding spaces is obtained. In addition, it is shown for $n\geqslant 2$ that, by contrast with the one-dimensional case, the weak invertibility of outer functions is equivalent in a certain sense to the weak invertibility of inner functions. 
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     author = {F. A. Shamoyan},
     title = {Weakly invertible elements in anisotropic weighted spaces},
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     url = {http://geodesic.mathdoc.fr/item/SM_2002_193_6_a7/}
}
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F. A. Shamoyan. Weakly invertible elements in anisotropic weighted spaces. Sbornik. Mathematics, Tome 193 (2002) no. 6, pp. 925-943. http://geodesic.mathdoc.fr/item/SM_2002_193_6_a7/

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