Real-Variable Theory of Musielak-Orlicz Hardy Spaces

The main purpose of this book is to give a detailed and complete survey of recent progress related to the real-variable theory of Musielak–Orlicz Hardy-type function spaces, and to lay the foundations for further applications. The real-variable theory of function spaces has always been at the core o...

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Bibliographic Details
Main Authors: Yang, Dachun (Author), Liang, Yiyu (Author), Ky, Luong Dang (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
Series:Lecture Notes in Mathematics, 2182
Subjects:
Online Access:Full Text via HEAL-Link
Description
Summary:The main purpose of this book is to give a detailed and complete survey of recent progress related to the real-variable theory of Musielak–Orlicz Hardy-type function spaces, and to lay the foundations for further applications. The real-variable theory of function spaces has always been at the core of harmonic analysis. Recently, motivated by certain questions in analysis, some more general Musielak–Orlicz Hardy-type function spaces were introduced. These spaces are defined via growth functions which may vary in both the spatial variable and the growth variable. By selecting special growth functions, the resulting spaces may have subtler and finer structures, which are necessary in order to solve various endpoint or sharp problems. This book is written for graduate students and researchers interested in function spaces and, in particular, Hardy-type spaces.
Physical Description:XIII, 468 p. 1 illus. online resource.
ISBN:9783319543611
ISSN:0075-8434 ;