| Title:
|
On a family of weighted spaces (English) |
| Author:
|
Fischer, R. H. |
| Author:
|
Gürkanli, A. T. |
| Author:
|
Liu, T. S. |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
46 |
| Issue:
|
1 |
| Year:
|
1996 |
| Pages:
|
71-82 |
| . |
| Category:
|
math |
| . |
| MSC:
|
43A15 |
| MSC:
|
43A25 |
| idZBL:
|
Zbl 0862.43002 |
| idMR:
|
MR1414411 |
| . |
| Date available:
|
2009-09-25T11:12:53Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/128724 |
| . |
| Reference:
|
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| Reference:
|
[2] BRAUN W.-FEICHTINGER H. G.: Banach spaces of distributions having two modul structures.J. Funct. Anal. 51 (1983), 174-212. MR 0701055 |
| Reference:
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[3] FEICHTINGER H. G.: Banach convolution algebras of Wiener type.In: Functions, Series, Operators. Colloq. Math. Soc. János Bolyai 35, North-Holland, Amsterdam, 1980, pp. 509-523. MR 0751019 |
| Reference:
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[4] FEICHTINGER H. G.: On a new Segal algebra.Mh. Math. 92 (1981), 269-289. Zbl 0461.43003, MR 0643206 |
| Reference:
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[5] FEICHTINGER H. G.: Un espace de Banach distributions temperees sur les grupes localement compacts abelians.C. R. Acad. Sci. Paris Sér. I 290 (1980), 791-794. MR 0580567 |
| Reference:
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[6] FEICHINGER H. G.: On a class of convolution algebras of functions.Ann. Inst. Fourieг (Grenoble) 27 (1977), 135-162. MR 0470610 |
| Reference:
|
[7] FEICHTINGER H. G.: Compactness in translation invariant Banach spaces of distributions and compact multipliers.J. Math. Anal. Appl. 102 (1984), 289-327. Zbl 0515.46044, MR 0755964 |
| Reference:
|
[8] FEICHTINGER H. G.-GÜRKANLI A. T.: On a family of weighted convolution algebras.Internat. J. Math. Math. Sci. 13 (1990), 517-526. Zbl 0752.43001, MR 1068016 |
| Reference:
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[9] GULICK S. L.-LIU T. S.-Van ROOIJ A. C M.: Group algebra modules 2.Canad. J. Math. 19 (1967), 151-173. MR 0222663 |
| Reference:
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[10] GÜRKANLI A. T.: Some results in the weighted $A_p(\Bbb R^n)$ spaces.Demonstratio Math. 19 (1986), 825-830 (517-526). MR 0916095 |
| Reference:
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[11] KESAVA MURTHY G. N.-UNNI K. R.: Multipliers on Weighted Space.Lecture Notes in Math. 399, Springer, New York-Berlin, 1973. MR 0404992 |
| Reference:
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[12] KÖTHE G.: Topological Vector Spaces.Springer Verlag, Berlin-Heidelberg-New Yoгk, 1969. |
| Reference:
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[13] LAI H. C.: On some properties of $A^p(G)$ algebras.Proc. Japan Acad. 45 (1969), 577-581. MR 0252967 |
| Reference:
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[14] LARSEN R.-LIU T. S.-WANG J. K.: On functions with Fourier transforms in Lp.Michigan Math. J. 11 (1964), 369-378. MR 0170173 |
| Reference:
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[15] LARSEN R.: Introduction to the Theory of Multipliers.Springer Veгlag, Beгlin-Heidelberg-New York, 1971. Zbl 0213.13301, MR 0435738 |
| Reference:
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[16] LOOMIS L. H.: An Introduction to Abstract Harmonic Analysis..D. Van Nostrant Company, INC, Toгonto-New York-London, 1953. Zbl 0052.11701, MR 0054173 |
| Reference:
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[17] MARTIN J. C.-YAP L. Y. H.: The algebra of functions with Fourier transform in $L_p$.Pгoc. Ameг. Math. Soc. 24 (1970), 217-219. MR 0247378 |
| Reference:
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[18] REITER H.: Classical Harmonic Analysis and Locally Compact Groups.Oxford University Press, Oxford, 1968. Zbl 0165.15601, MR 0306811 |
| Reference:
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[19] RUDIN W.: Fourier Analysis on Groups.Interscience Publishers, New York, 1962. Zbl 0107.09603, MR 0152834 |
| Reference:
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[20] STEIN E. M.: Singular Integrals and Differentiability Properties of Functions.Princeton University Press, Princeton, N. J.-1970. Zbl 0207.13501, MR 0290095 |
| Reference:
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[21] WANG H. C: Homogeneous Banach Algebras.Marcel Dekker INC, New York-Basel, 1977. Zbl 0346.43003, MR 0458055 |
| Reference:
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[22] WARNER C. R.: Closed ideals in the group algebra $L^1 (G) \cap L^2(G)$.Trans. Arner. Math. Soc. 121 (1966), 408-423. MR 0187021 |
| . |
