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The Wiener Type Spaces $B_{W_n}^{p,q}(G), L_w(G)$

Journal Name:

  • İstanbul Üniversitesi Fen Fakültesi Matematik, Fizik ve Astronomi Dergisi

Publication Year:

  • 1998-1999
Author NameUniversity of AuthorFaculty of Author
Abstract (2. Language): 
Let O' be a locally compact abclian group 1 < /?,Î/,/' < co and vr, v ,v arc Beurling's weights on G. Wc denote by /?,',"((/') the vectorspace Lrw{G)\ L'l(G) and endowed it with the sum norm l./j^'' = ||/| ır +|/| r[8|. Research on Wiener type spaces was initiated by N. Wiener in ¡9] and many authors worked on these spaces. H. Feichtinger gave a kind of generalization of the Wiener's definition in \ 11. In this work we discussed Wiener type spaces İY{BII1':'IV{G),L'V{G)) using the space B[v'! [8] as a local component, and L[, (G) as a global component.Let O' be a locally compact abclian group 1 < /?,Î/,/' < co and vr, v ,v arc Beurling's weights on G. Wc denote by /?,',"((/') the vectorspace Lrw{G)\ L'l(G) and endowed it with the sum norm l./j^'' = ||/| ır +|/| r[8|. Research on Wiener type spaces was initiated by N. Wiener in ¡9] and many authors worked on these spaces. H. Feichtinger gave a kind of generalization of the Wiener's definition in \ 11. In this work we discussed Wiener type spaces İY{BII1':'IV{G),L'V{G)) using the space B[v'! [8] as a local component, and L[, (G) as a global component.
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  • English

REFERENCES

References: 

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|2| M. G. Feichtinger.
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|2| H. (i. Feichtinger. K. II. Grochenic. Banach spaces related to integrable group representations and their atomic decompositions 1., Journal of functional analysis Vol.86. No. 2(1989).
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|5| R. II. Fischer. A. T. Gürkanh. T. S. Liu. On a family of Wiener type spaces. Internal. J. Math. Sci. Vol. 19 No. 1 (1996) 57-66.
|6] R. Larsen. Introduction to the theory of multipliers. Springer Verlag, 1971.
[7] 11.
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University Press, Oxford, (1968).
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the Faculty of Science Ege University, Series A, Vol. 17, No. 2, 1994. |9| N. Wiener. Tauberian theorems, Ann. of Math. 33 (1932) 1-10.

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