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Multipliers on weighted Hardy spaces over locally compact Vilenkin groups

Multipliers on weighted Hardy spaces over locally compact Vilenkin groups
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摘要 A weighted Hpω(G) multiplier theorem on the multiplier operator T associated with a function m∈ L∞ (Γ) is shown and the atomic decomposition of functions fin Hp*(G) is obtained, where G is a Vilenkin group, r its dual, 0 【 p≤1 and ω is a weight on G which is more general than that proposed by C. W. Onneweer et al. A weightedH ω p (G) multiplier theorem on the multiplier operatorT associated with a functionm ∈ L ∞ (Γ) is shown and the atomic decomposition of functionsf inH ω p (G) is obtained, where G is a Vilenkin group, Γ its dual, 0 <p ≤ 1 1 and ω is a weight onG which is more general than that proposed by C. W. Onneweeret al.
机构地区 Nanjing Univ
出处 《Chinese Science Bulletin》 SCIE EI CAS 1999年第18期1649-1653,共5页
关键词 MULTIPLIERS VILENKIN GROUP atom-decomposition. multipliers Vilenkin group atom-decomposition
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