数学物理学报(英文版) ›› 1994, Vol. 14 ›› Issue (2): 130-138.

• 论文 • 上一篇    下一篇

AN HARMONIC ANALYSIS FOR OPERATORS IN THE CASE OF A LOCALLY COMPACT ABELIAN GROUP: F.AND M.RIESZ THEOREMS

于树模   

  1. Dept. of Math., Fudan Univ., Shanghai 200433, China
  • 收稿日期:1991-03-27 出版日期:1994-06-25 发布日期:1994-06-25

AN HARMONIC ANALYSIS FOR OPERATORS IN THE CASE OF A LOCALLY COMPACT ABELIAN GROUP: F.AND M.RIESZ THEOREMS

Yu Shumo   

  1. Dept. of Math., Fudan Univ., Shanghai 200433, China
  • Received:1991-03-27 Online:1994-06-25 Published:1994-06-25

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摘要： Let G be a locally compact Abelian group, B a homogeneous Banach algebra without the order on G.LB1 at denotes the set of all integrable operators with respect to right translation on B(see[1]). Under some convenient conditions we obtain the following results:both the first F. and M. Riesz Theorem for operators in LL1(G)1 and the second F. and M. Riesz Theorem for operators in LA2(G)1 hold.

Abstract: Let G be a locally compact Abelian group, B a homogeneous Banach algebra without the order on G.LB1 at denotes the set of all integrable operators with respect to right translation on B(see[1]). Under some convenient conditions we obtain the following results:both the first F. and M. Riesz Theorem for operators in LL1(G)1 and the second F. and M. Riesz Theorem for operators in LA2(G)1 hold.

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