Electronic Journal of Differential Equations,
Vol. 2008(2008), No. 21, pp. 1-18.

Title: Almost automorphic functions with values in p-Frechet spaces
   
Authors: Ciprian G. Gal (Univ. of Missouri, Columbia, MO, USA)
         Sorin G. Gal   (Univ. of Oradea, Romania)
	 Gaston M. N'Guerekata (Morgan State Univ., Baltimore, MD, USA)

Abstract: 
 In this paper we develop a theory of almost automorphic functions with
 values in p-Frechet spaces, $0<p<1$, including the $l^{p}$, $L^{p}$
 spaces and the Hardy space $H^{p}$. Although the p-norm for $0<p<1$ 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.
 
Submitted December 19, 2007. Published February 21, 2008.
Math Subject Classifications: 43A60, 34C35.
Key Words: Almost automorphic; asymptotically almost automorphic; 
           weakly almost automorphic; semigroup of linear bounded operator; 
           p-Frechet space.