Real-Variable Theory of Hardy Spaces Associated with Generalized Herz Spaces of Rafeiro and Samko

Released on by Yinqin Li
preview-18

  • Real-Variable Theory of Hardy Spaces Associated with Generalized Herz Spaces of Rafeiro and Samko Book Detail

  • Author : Yinqin Li
  • Release Date : 2023-02-14
  • Publisher : Springer Nature
  • Genre : Mathematics
  • Pages : 663
  • ISBN 13 : 9811967881
  • File Size : 34,34 MB
DOWNLOAD BOOK

Real-Variable Theory of Hardy Spaces Associated with Generalized Herz Spaces of Rafeiro and Samko by Yinqin Li PDF Summary

Book Description: The real-variable theory of function spaces has always been at the core of harmonic analysis. In particular, the real-variable theory of the Hardy space is a fundamental tool of harmonic analysis, with applications and connections to complex analysis, partial differential equations, and functional analysis. This book is devoted to exploring properties of generalized Herz spaces and establishing a complete real-variable theory of Hardy spaces associated with local and global generalized Herz spaces via a totally fresh perspective. This means that the authors view these generalized Herz spaces as special cases of ball quasi-Banach function spaces. In this book, the authors first give some basic properties of generalized Herz spaces and obtain the boundedness and the compactness characterizations of commutators on them. Then the authors introduce the associated Herz–Hardy spaces, localized Herz–Hardy spaces, and weak Herz–Hardy spaces, and develop a complete real-variable theory of these Herz–Hardy spaces, including their various maximal function, atomic, molecular as well as various Littlewood–Paley function characterizations. As applications, the authors establish the boundedness of some important operators arising from harmonic analysis on these Herz–Hardy spaces. Finally, the inhomogeneous Herz–Hardy spaces and their complete real-variable theory are also investigated. With the fresh perspective and the improved conclusions on the real-variable theory of Hardy spaces associated with ball quasi-Banach function spaces, all the obtained results of this book are new and their related exponents are sharp. This book will be appealing to researchers and graduate students who are interested in function spaces and their applications.

Disclaimer: www.yourbookbest.com does not own Real-Variable Theory of Hardy Spaces Associated with Generalized Herz Spaces of Rafeiro and Samko books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Hardy Spaces on Homogeneous Groups

Hardy Spaces on Homogeneous Groups

File Size : 34,34 MB
Total View : 207 Views
DOWNLOAD

The object of this monograph is to give an exposition of the real-variable theory of Hardy spaces (HP spaces). This theory has attracted considerable attention

Anisotropic Hardy Spaces and Wavelets

Anisotropic Hardy Spaces and Wavelets

File Size : 48,48 MB
Total View : 9423 Views
DOWNLOAD

Investigates the anisotropic Hardy spaces associated with very general discrete groups of dilations. This book includes the classical isotropic Hardy space theo