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赫兹型空间及其应用

《赫兹型空间及其应用》是2008年科学出版社出版的书,作者是Shangzhen Lu、 Dachun Yang、 Guoen Hu。

  • 书名 赫兹型空间及其应用
  • 作者 Shangzhen Lu、 Dachun Yang、 Guoen Hu
  • 出版社 科学出版社
  • 出版时间 2008年3月
  • 装帧 精装

内容简介

  《赫兹型空间及其应用》主要内容:The book is a sum来自mation of the study by the authors on Herz spaces in recent 20 y360百科ears.The content of the book mainly includes the following sides: decomposition characterization of homogeneous and non-homogeneous Herz spaces in terms of centr置正控子款员环al blocks, decomposition characterization of homogen衣抗罗条植沙扬米eous and non-homogeneous Herz type Hardy spaces in terms of central at活载存福较席核织叶示斗oms and molecules, interpolations and duals for Herz 四太给振承随游妒type spaces and applications of above decomposition characterizations to 营丰印己boundedness of operators.

目录

  Pre待间呼感身氢face

  Chapter 1 Herz Spaces

  1.1 Definitions and some basic facts

  1.2 Dual spaces of the Herz spaces

  1.3 Blo很久花径原别旧ck decompositions for the Herz spaces

信木必我正川争常千  1.4 The weak Herz spaces

  1.5 Notes and related results

  山婷物表Chapter 2 Herz-type Har样传逐型假引保什免选dy Spaces

  2.1 De径味根愿丝工将往艺双finitions and basic properties

  2.2 The atom decompositions

  2.3 The molecular decompositions

  2.4 Wei孩所研改兴告ghted Herz type Hardy spaces

  2.5 Embedding theorems for Herz-type Hardy spaces

  2.6 Local Herz-type Hardy spaces

  2.7 Notes and related results

  Chapter 3 Characterizations of ф-transforms a划燃吃nd Wavelet Transforms

  3.1 The discrete weighted Herz-挥自项处标相乐积type tent space

  3.2 The ф-transform characterizations

  3.3 The wavelet characterizations

  乱旧获按花体理3.4 Notes and related results

  Chapter 4 Interpolations for Herz Type Sp号兴向行示有蛋件视怕aces

  4.1 Complex interpolation for Herz spaces of Banach type

  4修志艺.2 The complex i采史目nterpolation for Herz spaces of quasi-Banach type

  4.3 Interpolation for families

  4.4 Interpolation for mixed couples

  4.5 Notes and related results..

  Chapter 5 Boundedness of Sublinear Operators on Herz Spaces

  5.1 Sublinear operators on Herz spaces

  5.2 Some weak type results

  5.3 Rough operators on Herz spaces

  5.4 g-function and Lusin area function characterization of Herz spaces

  5.5 Notes and related results

  Chapter 6 Boundedness of Some Operators on Herz-type Hardy Spaces

  6.1 Operators on Herz-type Hardy space

  6.2 Singular integral operators

  6.3 Oscillatory integral operators on Herz type Hardy spaces

  6.4 Bilinear operators

  6.5 Multiplier for Herz type Hardy spaces

  6.6 Notes and related results

  Reference

  Appendix A

  Appendix B

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