On a family of weighted spaces

R. H. Fischer; Turan A. Gürkanli; T. S. Liu

Mathematica Slovaca (1996)

  • Volume: 46, Issue: 1, page 71-82
  • ISSN: 0232-0525

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Fischer, R. H., Gürkanli, Turan A., and Liu, T. S.. "On a family of weighted spaces." Mathematica Slovaca 46.1 (1996): 71-82. <http://eudml.org/doc/31586>.

@article{Fischer1996,
author = {Fischer, R. H., Gürkanli, Turan A., Liu, T. S.},
journal = {Mathematica Slovaca},
keywords = {summable functions; locally compact abelian group; weighted spaces; Fourier transform},
language = {eng},
number = {1},
pages = {71-82},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On a family of weighted spaces},
url = {http://eudml.org/doc/31586},
volume = {46},
year = {1996},
}

TY - JOUR
AU - Fischer, R. H.
AU - Gürkanli, Turan A.
AU - Liu, T. S.
TI - On a family of weighted spaces
JO - Mathematica Slovaca
PY - 1996
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 46
IS - 1
SP - 71
EP - 82
LA - eng
KW - summable functions; locally compact abelian group; weighted spaces; Fourier transform
UR - http://eudml.org/doc/31586
ER -

References

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  1. DOMAR Y., Harmonic analysis based on certain commutative Banach algebras, Acta Math. 96 (1956), 1-56. (1956) Zbl0071.11302MR0078666
  2. BRAUN W.-FEICHTINGER H. G., Banach spaces of distributions having two modul structures, J. Funct. Anal. 51 (1983), 174-212. (1983) MR0701055
  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. (1980) MR0751019
  4. FEICHTINGER H. G., On a new Segal algebra, Mh. Math. 92 (1981), 269-289. (1981) Zbl0461.43003MR0643206
  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. (1980) MR0580567
  6. FEICHINGER H. G., On a class of convolution algebras of functions, Ann. Inst. Fourieг (Grenoble) 27 (1977), 135-162. (1977) MR0470610
  7. FEICHTINGER H. G., Compactness in translation invariant Banach spaces of distributions and compact multipliers, J. Math. Anal. Appl. 102 (1984), 289-327. (1984) Zbl0515.46044MR0755964
  8. FEICHTINGER H. G.-GÜRKANLI A. T., On a family of weighted convolution algebras, Internat. J. Math. Math. Sci. 13 (1990), 517-526. (1990) Zbl0752.43001MR1068016
  9. GULICK S. L.-LIU T. S.-Van ROOIJ A. C M., Group algebra modules 2, Canad. J. Math. 19 (1967), 151-173. (1967) MR0222663
  10. GÜRKANLI A. T., Some results in the weighted A p ( n ) spaces, Demonstratio Math. 19 (1986), 825-830 (517-526). (1986) MR0916095
  11. KESAVA MURTHY G. N.-UNNI K. R., Multipliers on Weighted Space, Lecture Notes in Math. 399, Springer, New York-Berlin, 1973. (1973) MR0404992
  12. KÖTHE G., Topological Vector Spaces, Springer Verlag, Berlin-Heidelberg-New Yoгk, 1969. (1969) 
  13. LAI H. C., On some properties of A p ( G ) algebras, Proc. Japan Acad. 45 (1969), 577-581. (1969) MR0252967
  14. LARSEN R.-LIU T. S.-WANG J. K., On functions with Fourier transforms in Lp, Michigan Math. J. 11 (1964), 369-378. (1964) MR0170173
  15. LARSEN R., Introduction to the Theory of Multipliers, Springer Veгlag, Beгlin-Heidelberg-New York, 1971. (1971) Zbl0213.13301MR0435738
  16. LOOMIS L. H., An Introduction to Abstract Harmonic Analysis., D. Van Nostrant Company, INC, Toгonto-New York-London, 1953. (1953) Zbl0052.11701MR0054173
  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. (1970) MR0247378
  18. REITER H., Classical Harmonic Analysis and Locally Compact Groups, Oxford University Press, Oxford, 1968. (1968) Zbl0165.15601MR0306811
  19. RUDIN W., Fourier Analysis on Groups, Interscience Publishers, New York, 1962. (1962) Zbl0107.09603MR0152834
  20. STEIN E. M., Singular Integrals and Differentiability Properties of Functions, Princeton University Press, Princeton, N. J.-1970. (1970) Zbl0207.13501MR0290095
  21. WANG H. C, Homogeneous Banach Algebras, Marcel Dekker INC, New York-Basel, 1977. (1977) Zbl0346.43003MR0458055
  22. WARNER C. R., Closed ideals in the group algebra L 1 ( G ) L 2 ( G ) , Trans. Arner. Math. Soc. 121 (1966), 408-423. (1966) MR0187021

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