On a family of Wiener type spaces
Research on Wiener type spaces was initiated by N.Wiener in [15]. A number of authors worked on these spaces or some special cases of these spaces. A kind of generalization of the Wiener's definition was given by H.Feichtinger in [2] as a Banach spaces of functions (or measures, distributions)...
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Hindawi Limited
1996-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171296000105 |
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doaj-ecf9ef37fc9448e1930a95c7dc844da72020-11-25T00:32:04ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251996-01-01191576610.1155/S0161171296000105On a family of Wiener type spacesR. H. Fischer0A. T. Gürkanli1T. S. Liu2University of Massachusetts, Department of Mathematics and Statistic, Amherst 01003, MA., USAUniversity of Massachusetts, Department of Mathematics and Statistic, Amherst 01003, MA., USAUniversity of Massachusetts, Department of Mathematics and Statistic, Amherst 01003, MA., USAResearch on Wiener type spaces was initiated by N.Wiener in [15]. A number of authors worked on these spaces or some special cases of these spaces. A kind of generalization of the Wiener's definition was given by H.Feichtinger in [2] as a Banach spaces of functions (or measures, distributions) on locally compact groups that are defined by means of the global behaviour of certain local properties of their elements. In the present paper we discussed Wiener type spaces using the spaces Aw,ωp,q(G) and Fw,ωp,q(G) (c. f. [8]) as a local component, and Lνr(G) as a global component, where w and ν are Beurling weights on G and ω is a Beurling weight on Gˆ (c. f. [13]).http://dx.doi.org/10.1155/S0161171296000105weighted Lp-spacesBeurling algebraWiener type spaceBF-space. |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
R. H. Fischer A. T. Gürkanli T. S. Liu |
| spellingShingle |
R. H. Fischer A. T. Gürkanli T. S. Liu On a family of Wiener type spaces International Journal of Mathematics and Mathematical Sciences weighted Lp-spaces Beurling algebra Wiener type space BF-space. |
| author_facet |
R. H. Fischer A. T. Gürkanli T. S. Liu |
| author_sort |
R. H. Fischer |
| title |
On a family of Wiener type spaces |
| title_short |
On a family of Wiener type spaces |
| title_full |
On a family of Wiener type spaces |
| title_fullStr |
On a family of Wiener type spaces |
| title_full_unstemmed |
On a family of Wiener type spaces |
| title_sort |
on a family of wiener type spaces |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
1996-01-01 |
| description |
Research on Wiener type spaces was initiated by N.Wiener in [15]. A number of authors worked on these spaces or some special cases of these spaces. A kind of generalization of the Wiener's definition was given by H.Feichtinger in [2] as a Banach spaces of functions (or measures, distributions) on locally compact groups that are defined by means of the global behaviour of certain local properties of their elements. In the present paper we discussed Wiener type spaces using the spaces Aw,ωp,q(G) and Fw,ωp,q(G) (c. f. [8]) as a local component, and Lνr(G) as a global component, where w and ν are Beurling weights on G and ω is a Beurling weight on Gˆ (c. f. [13]). |
| topic |
weighted Lp-spaces Beurling algebra Wiener type space BF-space. |
| url |
http://dx.doi.org/10.1155/S0161171296000105 |
| work_keys_str_mv |
AT rhfischer onafamilyofwienertypespaces AT atgurkanli onafamilyofwienertypespaces AT tsliu onafamilyofwienertypespaces |
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1725320996252024832 |