数学季刊 ›› 1992, Vol. 7 ›› Issue (4): 1-8.

• •    下一篇

Boundedness of the Littlewood-Paley Operator,the Function g(f),on BMO(T)

  


  1. Dept. of Math. Beijing Normal University,,100875

  • 收稿日期:1990-04-09 出版日期:1992-12-30 发布日期:2025-06-16

Boundedness of the Littlewood-Paley Operator,the Function g(f),on BMO(T)


  1. Dept. of Math. Beijing Normal University,,100875
  • Received:1990-04-09 Online:1992-12-30 Published:2025-06-16

摘要: Little wood-Paley operator,the function g(f), is considered as an operator on BMO(T). It is proved that if f E BMO (T), then g(f)∈BMO (T) and there is a constant C that is independent of f such that ‖g(f)‖* ≤C‖f‖*. Moreover,we have got the further results.

关键词:  , Little wood-Paley operator, poisson integral, BMO(T)space

Abstract: Little wood-Paley operator,the function g(f), is considered as an operator on BMO(T). It is proved that if f E BMO (T), then g(f)∈BMO (T) and there is a constant C that is independent of f such that ‖g(f)‖* ≤C‖f‖*. Moreover,we have got the further results.

Key words:  , Little wood-Paley operator, poisson integral, BMO(T)space