ArticleOriginal scientific text

Title

Some non-homogeneous Hardy spaces on locally compact Vilenkin groups

Authors 1, 1

Affiliations

  1. Department of Mathematics, Beijing Normal University, Beijing 100875, The People's Republic of China

Keywords

Vilenkin group, dual space, Herz space, atom, Hardy space, molecule

Bibliography

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  4. T. Kitada, Multipliers on weighted Hardy spaces over certain totally disconnected groups, Internat. J. Math. Math. Sci. 11 (1988), 665-674.
  5. S. Z. Lu and D. C. Yang, Some new Hardy spaces on locally compact Vilenkin groups, Colloq. Math. 65 (1993), 117-138.
  6. S. Z. Lu and D. C. Yang, The decomposition of Herz spaces on local fields and its applications, preprint.
  7. C. W. Onneweer, Multipliers on weighted Lp-spaces over certain totally disconnected groups, Trans. Amer. Math. Soc. 288 (1985), 347-362.
  8. C. W. Onneweer, Generalized Lipschitz spaces and Herz spaces on certain totally disconnected groups, in: Lecture Notes in Math. 939, Springer, 1981, 106-121.
  9. C. W. Onneweer and T. S. Quek, Multipliers on weighted Hardy spaces over locally compact Vilenkin groups, I, J. Austral. Math. Soc. Ser. A 48 (1990), 472-496.
  10. C. W. Onneweer and T. S. Quek, Hp multiplier results on locally compact Vilenkin groups, Quart. J. Math. Oxford (2) 40 (1989), 313-323.
  11. M. H. Taibleson, Fourier Analysis on Local Fields, Math. Notes 15, Princeton Univ. Press, 1975.
Pages:
1-17
Main language of publication
English
Received
1993-12-13
Published
1996
Exact and natural sciences