Some non-homogeneous Hardy spaces on locally compact Vilenkin groups

• Autorzy: Shanzhen Lu , Dachun Yang
• Języki publikacji: EN

Słowa kluczowe

EN

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

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1996
• Tom: 69
• Numer: 1
• Strony: 1-17

Daty

wydano

1996

otrzymano

1993-12-13

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] Y. Z. Chen and K. S. Lau, On some new classes of Hardy spaces, J. Funct. Anal. 84 (1989), 255-278.
• [2] J. García-Cuerva, Hardy spaces and Beurling algebras, J. London Math. Soc. (2) 39 (1989), 499-513.
• [3] T. Kitada, Weighted $H^p$ multipliers on locally compact Vilenkin groups, Monatsh. Math. 110 (1990), 283-295.
• [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 $L_p$-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, $H^p$ 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.