Almost automorphic functions with values in p-Frechet spaces
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 prope...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2008-02-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2008/21/abstr.html |
| Summary: | 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. |
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| ISSN: | 1072-6691 |