國立高雄大學圖資館 |

Language: English

Back

Real-variable theory of Hardy spaces associated with generalized Herz spaces of Rafeiro and Samko

Record Type:	Electronic resources : Monograph/item
Title/Author:	Real-variable theory of Hardy spaces associated with generalized Herz spaces of Rafeiro and Samkoby Yinqin Li, Dachun Yang, Long Huang.
Author:	Li, Yinqin.
other author:	Yang, Dachun.
Published:	Singapore :Springer Nature Singapore :2022.
Description:	xix, 647 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Hardy spaces.
Online resource:	https://doi.org/10.1007/978-981-19-6788-7
ISBN:	9789811967887$q(electronic bk.)

Real-variable theory of Hardy spaces associated with generalized Herz spaces of Rafeiro and Samko
Li, Yinqin.

Real-variable theory of Hardy spaces associated with generalized Herz spaces of Rafeiro and Samko[electronic resource] /by Yinqin Li, Dachun Yang, Long Huang. - Singapore :Springer Nature Singapore :2022. - xix, 647 p. :ill., digital ;24 cm. - Lecture notes in mathematics,v. 23201617-9692 ;. - Lecture notes in mathematics ;2035..

1 Generalized Herz Spaces of Rafeiro and Samko -- 2 Block Spaces and Their Applications -- 3 Boundedness and Compactness Characterizations of Commutators on Generalized Herz Spaces -- 4 Generalized Herz-Hardy Spaces -- 5 Localized Generalized Herz-Hardy Spaces -- 6 Weak Generalized Herz-Hardy Spaces -- 7 Inhomogeneous Generalized Herz Spaces and Inhomogeneous Block Spaces -- 8 Hardy Spaces Associated with Inhomogeneous Generalized Herz Spaces.

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.

ISBN: 9789811967887$q(electronic bk.)

Standard No.: 10.1007/978-981-19-6788-7doiSubjects--Topical Terms:

205857
Hardy spaces.

LC Class. No.: QA331

Dewey Class. No.: 515.94

Real-variable theory of Hardy spaces associated with generalized Herz spaces of Rafeiro and Samko
LDR:03308nmm a2200337 a 4500 001 634587
003 DE-He213
005 20230214175624.0
006 m d
007 cr nn 008maaau
008 230529s2022 si s 0 eng d
020 $a 9789811967887$q(electronic bk.)
020 $a 9789811967870$q(paper)
024 7 $a 10.1007/978-981-19-6788-7 $2 doi
035 $a 978-981-19-6788-7
040 $a GP $c GP
041 0 $a eng
050 4 $a QA331
072 7 $a PBKD $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBKD $2 thema
082 0 4 $a 515.94 $2 23
090 $a QA331 $b .L693 2022
100 1 $a Li, Yinqin. $3 941034
245 1 0 $a Real-variable theory of Hardy spaces associated with generalized Herz spaces of Rafeiro and Samko $h [electronic resource] / $c by Yinqin Li, Dachun Yang, Long Huang.
260 $a Singapore : $b Springer Nature Singapore : $b Imprint: Springer, $c 2022.
300 $a xix, 647 p. : $b ill., digital ; $c 24 cm.
490 1 $a Lecture notes in mathematics, $x 1617-9692 ; $v v. 2320
505 0 $a 1 Generalized Herz Spaces of Rafeiro and Samko -- 2 Block Spaces and Their Applications -- 3 Boundedness and Compactness Characterizations of Commutators on Generalized Herz Spaces -- 4 Generalized Herz-Hardy Spaces -- 5 Localized Generalized Herz-Hardy Spaces -- 6 Weak Generalized Herz-Hardy Spaces -- 7 Inhomogeneous Generalized Herz Spaces and Inhomogeneous Block Spaces -- 8 Hardy Spaces Associated with Inhomogeneous Generalized Herz Spaces.
520 $a 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.
650 0 $a Hardy spaces. $3 205857
650 1 4 $a Several Complex Variables and Analytic Spaces. $3 276692
650 2 4 $a Fourier Analysis. $3 273776
650 2 4 $a Functional Analysis. $3 274845
700 1 $a Yang, Dachun. $3 492348
700 1 $a Huang, Long. $3 941035
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Lecture notes in mathematics ; $v 2035. $3 557764
856 4 0 $u https://doi.org/10.1007/978-981-19-6788-7
950 $a Mathematics and Statistics (SpringerNature-11649)