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关于参数型Marcinkiewicz积分算子的有界性

作　者: 葛杰
导　师: 陶祥兴
学　校: 宁波大学
专　业: 基础数学
关键词: Parametric Marcinkiewicz integral operator Hardy space weak Hardy space rough kernels
分类号: O177
类　型: 硕士论文
年　份: 2009年
下　载: 4次
引　用: 0次
阅　读: 论文下载

内容摘要

Our Paper is composed of three chapters. Here we mainly study bound-edness of parametric Marcinkiewicz integral operator in specifical spaces.In the first chapter, we study boundedness of parametric Marcinkiewiczintegral operatorμ?ρ(f)(x) on Weak Hardy spaces.The main result is The-orem 1.1.4.In the second chapter, we first define Parametric Marcinkiewicz inte-gral operator with more rough kernelsμ?ρ,b(f)(x), then we investigate theboundedness ofμρ?,b(f)(x) on Hardy space, and gain theorem 2.2.1 andtheorem 2.2.2.In the third chapter, we still study the boundedness of ParametricMarcinkiewicz integral operator with more rough kernelsμ?ρ,b(f)(x), weinvestigate the boundedness ofμ?ρ,b(f)(x) on Weak Hardy space, and gethold of theorem 3.1.3 and theorem 3.1.4.

全文目录

Abstract  4-5
Account for symbol  5-7
1 Parametric Marcinkiewicz integral on Weak Hardy space  7-15
  1.1 Introduction  7-9
  1.2 Proof of the Theorem  9-15
2 Rough parametric Marcinkiewicz integral on Hardy spaces  15-28
  2.1 Introduction  15-17
  2.2 Main Results  17-18
  2.3 Proof of Theorems  18-28
3 Rough parametric Marcinkiewicz Integral on Weak Hardy space  28-42
  3.1 Introduction  28-29
  3.2 Theorems and Its Proof  29-42
Bibliography  42-45
Academic Achievements and Awards  45
Acknowledgements  45

关于参数型Marcinkiewicz积分算子的有界性

内容摘要

全文目录

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