Isomorphism of spaces of analytic functions on $n$-circular domains
Chalov, P. ; Zahariuta, V.
Bull. Belg. Math. Soc. Simon Stevin, Tome 13 (2007) no. 5, p. 455-462 / Harvested from Project Euclid
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The space $A(D) $ of all analytic functions in a complete $n$ -circular domain $D$ in $\mathbb{C}^{n},$ $n\geq 2,$ is considered with a natural Fréchet topology. Some sufficient conditions for the isomorphism of such spaces are obtained in terms of certain subtle geometric characteristic of domains $D$. This investigation complements essentially the second author's result on necessary geometric conditions of such isomorphisms.
Publié le : 2007-09-14
Classification:  
@article{1190994206,
     author = {Chalov, P. and Zahariuta, V.},
     title = {Isomorphism of spaces of analytic functions on $n$-circular domains},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {13},
     number = {5},
     year = {2007},
     pages = { 455-462},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1190994206}
}

Chalov, P.; Zahariuta, V. Isomorphism of spaces of analytic functions on $n$-circular domains. Bull. Belg. Math. Soc. Simon Stevin, Tome 13 (2007) no. 5, pp.  455-462. http://gdmltest.u-ga.fr/item/1190994206/