Real Variable Theory of Hardy Spaces Associated with Generalized Herz Spaces of Rafeiro and Samko is popular PDF and ePub book, written by Yinqin Li in 2023-02-14, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Real Variable Theory of Hardy Spaces Associated with Generalized Herz Spaces of Rafeiro and Samko can be Read Online from any device for your convenience.
Real Variable Theory of Hardy Spaces Associated with Generalized Herz Spaces of Rafeiro and Samko Book PDF Summary
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.
Detail Book of Real Variable Theory of Hardy Spaces Associated with Generalized Herz Spaces of Rafeiro and Samko PDF
- Author : Yinqin Li
- Release : 14 February 2023
- Publisher : Springer Nature
- ISBN : 9789811967887
- Genre : Mathematics
- Total Page : 663 pages
- Language : English
- PDF File Size : 19,8 Mb
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