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Maximal Functions, Littlewood–Paley Theory, Riesz Transforms and Atomic Decomposition in the Multi-Parameter Flag Setting
 
Yongsheng Han :  Auburn University, Auburn, GA, USA
Ming-Yi Lee :  National Central University, Chung-Li, Taiwan and National Center for Theoretical Sciences, Taipei, Taiwan
Ji Li :  Macquarie University, Sydney, Australia
Brett Wick :  Washington University, St. Louis, Missouri
Maximal Functions, Littlewood--Paley Theory, Riesz Transforms and Atomic Decomposition in the Multi-Parameter Flag Setting
eBook ISBN:  978-1-4704-7227-6
Product Code:  MEMO/279/1373.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Add to cart
Maximal Functions, Littlewood--Paley Theory, Riesz Transforms and Atomic Decomposition in the Multi-Parameter Flag Setting
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Maximal Functions, Littlewood–Paley Theory, Riesz Transforms and Atomic Decomposition in the Multi-Parameter Flag Setting
Yongsheng Han :  Auburn University, Auburn, GA, USA
Ming-Yi Lee :  National Central University, Chung-Li, Taiwan and National Center for Theoretical Sciences, Taipei, Taiwan
Ji Li :  Macquarie University, Sydney, Australia
Brett Wick :  Washington University, St. Louis, Missouri
eBook ISBN:  978-1-4704-7227-6
Product Code:  MEMO/279/1373.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Add to cart
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 279; 2022; 102 pp
    MSC: Primary 42

    View the abstract.

  • Table of Contents
     
     
    • Chapters
    • Acknowledgement
    • Notation
    • 1. Introduction and Statement of Main Results, Applications
    • 2. Flag Littlewood–Paley Estimate: $\|g_F(f)\|_1$, $ \|S_F(f)\|_1$ and $ \|S_F(U)\|_1$
    • 3. Estimates of Area Functions, Maximal Functions and Riesz Transforms via Flag Poisson Integral Technique
    • 4. Flag Maximal Functions: from Poisson Kernel to General Schwartz Kernels
    • 5. Atomic Decompositions of Flag Hardy Spaces
    • 6. Estimates of Riesz Transforms and Area Function via Atomic Decomposition
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Memoirs of the American Mathematical Society
Volume: 279; 2022; 102 pp
MSC: Primary 42

View the abstract.

  • Chapters
  • Acknowledgement
  • Notation
  • 1. Introduction and Statement of Main Results, Applications
  • 2. Flag Littlewood–Paley Estimate: $\|g_F(f)\|_1$, $ \|S_F(f)\|_1$ and $ \|S_F(U)\|_1$
  • 3. Estimates of Area Functions, Maximal Functions and Riesz Transforms via Flag Poisson Integral Technique
  • 4. Flag Maximal Functions: from Poisson Kernel to General Schwartz Kernels
  • 5. Atomic Decompositions of Flag Hardy Spaces
  • 6. Estimates of Riesz Transforms and Area Function via Atomic Decomposition
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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