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从弱连续性到强连续性

杨奇祥   

  1. 武汉大学数学系,武汉 430072
  • 收稿日期:2001-04-26 修回日期:1900-01-01 出版日期:2002-10-26
  • 通讯作者: 杨奇祥

From Weak Continuity to Strong Continuity

YANG Qi-xiang   

  1. Department of Mathematics, Wuhan University, Wuhan 430072, China
  • Received:2001-04-26 Revised:1900-01-01 Online:2002-10-26
  • Contact: YANG Qi-xiang

摘要: 对于只满足Hormander条件的C-Z算子,在不假设其在L2上连续, 也不假设其共轭算子的性质,只假设T把特征原子映到WL1空间的条件下,有对任意1<p<∞, T: Lp→Lp连续.

关键词: 组合原子和特征原子, Hardy空间H1和WLp, #算子, M算子, *算子

Abstract: Given a C-Z operator T, which satisfies the Hormander Condition, it is proved that if T maps some special atoms to WL1, then T is continuous from Lp to Lp(1

Key words: combination atom and characteristic atom, Hardy spaces H1 and WLp, # operator, M operator, * operator

中图分类号: 

  • O177.2