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 |
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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 |
| _version_ | 1828826481790287872 |
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| author | Gaston M. N'Guerekata Sorin G. Gal Ciprian G. Gal |
| author_facet | Gaston M. N'Guerekata Sorin G. Gal Ciprian G. Gal |
| author_sort | Gaston M. N'Guerekata |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-12T14:41:07Z |
| format | Article |
| id | doaj.art-9c621066340341f68dea06b56c5d4575 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-12T14:41:07Z |
| publishDate | 2008-02-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-9c621066340341f68dea06b56c5d45752022-12-22T00:21:15ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912008-02-01200821118Almost automorphic functions with values in p-Frechet spacesGaston M. N'GuerekataSorin G. GalCiprian G. GalIn 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.http://ejde.math.txstate.edu/Volumes/2008/21/abstr.htmlAlmost automorphicasymptotically almost automorphicweakly almost automorphicsemigroup of linear bounded operatorp-Frechet space |
| spellingShingle | Gaston M. N'Guerekata Sorin G. Gal Ciprian G. Gal Almost automorphic functions with values in p-Frechet spaces Electronic Journal of Differential Equations Almost automorphic asymptotically almost automorphic weakly almost automorphic semigroup of linear bounded operator p-Frechet space |
| title | Almost automorphic functions with values in p-Frechet spaces |
| title_full | Almost automorphic functions with values in p-Frechet spaces |
| title_fullStr | Almost automorphic functions with values in p-Frechet spaces |
| title_full_unstemmed | Almost automorphic functions with values in p-Frechet spaces |
| title_short | Almost automorphic functions with values in p-Frechet spaces |
| title_sort | almost automorphic functions with values in p frechet spaces |
| topic | Almost automorphic asymptotically almost automorphic weakly almost automorphic semigroup of linear bounded operator p-Frechet space |
| url | http://ejde.math.txstate.edu/Volumes/2008/21/abstr.html |
| work_keys_str_mv | AT gastonmnguerekata almostautomorphicfunctionswithvaluesinpfrechetspaces AT soringgal almostautomorphicfunctionswithvaluesinpfrechetspaces AT ciprianggal almostautomorphicfunctionswithvaluesinpfrechetspaces |