Some new Hardy spaces on locally compact Vilenkin groups

Shanzhen Lu; Dachun Yang

Colloquium Mathematicae (1993)

  • Volume: 65, Issue: 1, page 117-138
  • ISSN: 0010-1354

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Lu, Shanzhen, and Yang, Dachun. "Some new Hardy spaces on locally compact Vilenkin groups." Colloquium Mathematicae 65.1 (1993): 117-138. <http://eudml.org/doc/210196>.

@article{Lu1993,
author = {Lu, Shanzhen, Yang, Dachun},
journal = {Colloquium Mathematicae},
keywords = {Vilenkin group; Herz spaces; Hardy spaces},
language = {eng},
number = {1},
pages = {117-138},
title = {Some new Hardy spaces on locally compact Vilenkin groups},
url = {http://eudml.org/doc/210196},
volume = {65},
year = {1993},
}

TY - JOUR
AU - Lu, Shanzhen
AU - Yang, Dachun
TI - Some new Hardy spaces on locally compact Vilenkin groups
JO - Colloquium Mathematicae
PY - 1993
VL - 65
IS - 1
SP - 117
EP - 138
LA - eng
KW - Vilenkin group; Herz spaces; Hardy spaces
UR - http://eudml.org/doc/210196
ER -

References

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  1. [1] T. Kitada, Weighted H p multipliers on locally compact Vilenkin groups, Monatsh. Math. 110 (1990), 283-295. Zbl0717.43003
  2. [2] T. Kitada, Multipliers on weighted Hardy spaces over certain totally disconnected groups, Internat. J. Math. Math. Sci. 11 (1988), 665-674. Zbl0662.43004
  3. [3] S. Lu and D. Yang, Some weak Hardy spaces on locally compact Vilenkin groups, J. Beijing Normal Univ. (Natur. Sci.) 28 (1992), 409-419. Zbl0782.43004
  4. [4] C. W. Onneweer, Generalized Lipschitz spaces and Herz spaces on certain totally disconnected groups, in: Lecture Notes in Math. 939, Springer, 1981, 106-121. 
  5. [5] C. W. Onneweer, Multipliers on weighted L p -spaces over certain totally disconnected groups, Trans. Amer. Math. Soc. 288 (1985), 347-362. Zbl0589.43004
  6. [6] 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. Zbl0709.43004
  7. [7] C. W. Onneweer and T. S. Quek, Multipliers on weighted Hardy spaces over locally compact Vilenkin groups, II, Colloq. Math. 60/61 (1990), 305-314. Zbl0745.43002
  8. [8] C. W. Onneweer and W. Su, Homogeneous Besov spaces on locally compact Vilenkin groups, Studia Math. 93 (1989), 17-39. Zbl0681.43006
  9. [9] L. Saloff-Coste, Opérateurs pseudo-différentiels sur certains groupes totalement discontinus, ibid. 83 (1986), 205-228. Zbl0563.35085
  10. [10] M. H. Taibleson, Fourier Analysis on Local Fields, Math. Notes 15, Princeton Univ. Press, 1975. Zbl0319.42011
  11. [11] N. Ya. Vilenkin, On a class of complete orthonormal systems, Amer. Math. Soc. Transl. (2) 28 (1963), 1-35. 

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