Some new Hardy spaces on locally compact Vilenkin groups

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

T. Kitada, Weighted $H^{p}$ multipliers on locally compact Vilenkin groups, Monatsh. Math. 110 (1990), 283-295.
T. Kitada, Multipliers on weighted Hardy spaces over certain totally disconnected groups, Internat. J. Math. Math. Sci. 11 (1988), 665-674.
S. Lu and D. Yang, Some weak Hardy spaces on locally compact Vilenkin groups, J. Beijing Normal Univ. (Natur. Sci.) 28 (1992), 409-419.
C. W. Onneweer, Generalized Lipschitz spaces and Herz spaces on certain totally disconnected groups, in: Lecture Notes in Math. 939, Springer, 1981, 106-121.
C. W. Onneweer, Multipliers on weighted $L_{p}$ -spaces over certain totally disconnected groups, Trans. Amer. Math. Soc. 288 (1985), 347-362.
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.
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.
C. W. Onneweer and W. Su, Homogeneous Besov spaces on locally compact Vilenkin groups, Studia Math. 93 (1989), 17-39.
L. Saloff-Coste, Opérateurs pseudo-différentiels sur certains groupes totalement discontinus, ibid. 83 (1986), 205-228.
M. H. Taibleson, Fourier Analysis on Local Fields, Math. Notes 15, Princeton Univ. Press, 1975.
N. Ya. Vilenkin, On a class of complete orthonormal systems, Amer. Math. Soc. Transl. (2) 28 (1963), 1-35.