Some new Hardy spaces on locally compact Vilenkin groups

• Autorzy: Shanzhen Lu , Dachun Yang
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1993
• Tom: 65
• Numer: 1
• Strony: 117-138

Daty

wydano

1993

otrzymano

1992-01-20

poprawiono

1992-12-10

Twórcy

autor

Shanzhen Lu

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

autor

Dachun Yang

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

Bibliografia

• [1] T. Kitada, Weighted $H^p$ multipliers on locally compact Vilenkin groups, Monatsh. Math. 110 (1990), 283-295.
• [2] T. Kitada, Multipliers on weighted Hardy spaces over certain totally disconnected groups, Internat. J. Math. Math. Sci. 11 (1988), 665-674.
• [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.
• [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] C. W. Onneweer, Multipliers on weighted $L_p$-spaces over certain totally disconnected groups, Trans. Amer. Math. Soc. 288 (1985), 347-362.
• [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.
• [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.
• [8] C. W. Onneweer and W. Su, Homogeneous Besov spaces on locally compact Vilenkin groups, Studia Math. 93 (1989), 17-39.
• [9] L. Saloff-Coste, Opérateurs pseudo-différentiels sur certains groupes totalement discontinus, ibid. 83 (1986), 205-228.
• [10] M. H. Taibleson, Fourier Analysis on Local Fields, Math. Notes 15, Princeton Univ. Press, 1975.
• [11] N. Ya. Vilenkin, On a class of complete orthonormal systems, Amer. Math. Soc. Transl. (2) 28 (1963), 1-35.