Some non-homogeneous Hardy spaces on locally compact Vilenkin groups

Shanzhen Lu; Dachun Yang

Colloquium Mathematicae (1996)

  • Volume: 69, Issue: 1, page 1-17
  • ISSN: 0010-1354

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Lu, Shanzhen, and Yang, Dachun. "Some non-homogeneous Hardy spaces on locally compact Vilenkin groups." Colloquium Mathematicae 69.1 (1996): 1-17. <http://eudml.org/doc/210321>.

@article{Lu1996,
author = {Lu, Shanzhen, Yang, Dachun},
journal = {Colloquium Mathematicae},
keywords = {Vilenkin group; dual space; Herz space; atom; Hardy space; molecule; Haar measure; distributions; non-homogeneous spaces; homogeneous spaces; atomic theory},
language = {eng},
number = {1},
pages = {1-17},
title = {Some non-homogeneous Hardy spaces on locally compact Vilenkin groups},
url = {http://eudml.org/doc/210321},
volume = {69},
year = {1996},
}

TY - JOUR
AU - Lu, Shanzhen
AU - Yang, Dachun
TI - Some non-homogeneous Hardy spaces on locally compact Vilenkin groups
JO - Colloquium Mathematicae
PY - 1996
VL - 69
IS - 1
SP - 1
EP - 17
LA - eng
KW - Vilenkin group; dual space; Herz space; atom; Hardy space; molecule; Haar measure; distributions; non-homogeneous spaces; homogeneous spaces; atomic theory
UR - http://eudml.org/doc/210321
ER -

References

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  1. [1] Y. Z. Chen and K. S. Lau, On some new classes of Hardy spaces, J. Funct. Anal. 84 (1989), 255-278. Zbl0677.30030
  2. [2] J. García-Cuerva, Hardy spaces and Beurling algebras, J. London Math. Soc. (2) 39 (1989), 499-513. 
  3. [3] T. Kitada, Weighted H p multipliers on locally compact Vilenkin groups, Monatsh. Math. 110 (1990), 283-295. Zbl0717.43003
  4. [4] T. Kitada, Multipliers on weighted Hardy spaces over certain totally disconnected groups, Internat. J. Math. Math. Sci. 11 (1988), 665-674. Zbl0662.43004
  5. [5] S. Z. Lu and D. C. Yang, Some new Hardy spaces on locally compact Vilenkin groups, Colloq. Math. 65 (1993), 117-138. Zbl0828.43003
  6. [6] S. Z. Lu and D. C. Yang, The decomposition of Herz spaces on local fields and its applications, preprint. Zbl0844.43008
  7. [7] C. W. Onneweer, Multipliers on weighted L p -spaces over certain totally disconnected groups, Trans. Amer. Math. Soc. 288 (1985), 347-362. Zbl0589.43004
  8. [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. [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. Zbl0709.43004
  10. [10] C. W. Onneweer and T. S. Quek, H p multiplier results on locally compact Vilenkin groups, Quart. J. Math. Oxford (2) 40 (1989), 313-323. Zbl0697.43004
  11. [11] M. H. Taibleson, Fourier Analysis on Local Fields, Math. Notes 15, Princeton Univ. Press, 1975. Zbl0319.42011

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