Geodesic
Almost automorphic functions with values in \(p\)-Fréchet spaces
Electronic journal of differential equations, Tome 2008 (2008)
In this paper we develop a theory of almost automorphic functions with values in p-Frechet spaces, $0$, including the $l^{p}, L^{p}$ spaces and the Hardy space $H^{p}$. Although the p-norm for $0$ does not have all the properties of an usual norm, the majority of main properties of almost automorphic functions with values in Banach spaces are extended to this case. Applications to semigroups of linear operators and to dynamical systems in p-Frechet spaces are given.
Classification : 43A60, 34C35
Keywords: almost automorphic, asymptotically almost automorphic, weakly almost automorphic, semigroup of linear bounded operator, p-Fréchet space 
@article{EJDE_2008__2008__a58,
     author = {Gal,  Ciprian G. and Gal,  Sorin G. and N'Gu\'er\'ekata,  Gaston M.},
     title = {Almost automorphic functions with values in {\(p\)-Fr\'echet} spaces},
     journal = {Electronic journal of differential equations},
     year = {2008},
     volume = {2008},
     zbl = {1136.43003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a58/}
}
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Gal,  Ciprian G.; Gal,  Sorin G.; N'Guérékata,  Gaston M. Almost automorphic functions with values in \(p\)-Fréchet spaces. Electronic journal of differential equations, Tome 2008 (2008). http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a58/