Holomorphic functions taking values in a quotient of Fréchet-Schwartz spaces
Aqzzouz, Belmesnaoui ; El Alj, Hassan M.
Hiroshima Math. J., Tome 39 (2009) no. 1, p. 277-292 / Harvested from Project Euclid
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We define a space of holomorphic functions $O_{1}(U,E\mid F)$ on a domain of holomorphy $U$ of ${\Bbb C}^{n}$, taking their values in quotient bornological spaces $E\mid F$ as the kernel of a sheaf-morphism. We show that if $E$ is a Schwartz $b$-space and $F$ is a Fréchet-Schwartz $b$-space, then $O_{1}(U,E\mid F)$ and $O\left( U,E\right) \mid O\left( U,F\right)$ are naturally isomorphic.
Publié le : 2009-07-15
Classification:  Quotient bornological space,  holomorphic function,  46M05,  46T25,  46MXX 
@article{1249046340,
     author = {Aqzzouz, Belmesnaoui and El Alj, Hassan M.},
     title = {Holomorphic functions taking values in a quotient of Fr\'echet-Schwartz
				spaces},
     journal = {Hiroshima Math. J.},
     volume = {39},
     number = {1},
     year = {2009},
     pages = { 277-292},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1249046340}
}

Aqzzouz, Belmesnaoui; El Alj, Hassan M. Holomorphic functions taking values in a quotient of Fréchet-Schwartz
				spaces. Hiroshima Math. J., Tome 39 (2009) no. 1, pp.  277-292. http://gdmltest.u-ga.fr/item/1249046340/