Real-Variable Theory of Musielak-Orlicz Hardy Spaces

Dachun Yang, Yiyu Liang, Luong Dang Ky

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English

Springer International Publishing AG
10 May 2017

Real analysis, real variables; Functional analysis & transforms

Series: Lecture Notes in Mathematics

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.

By: Dachun Yang, Yiyu Liang, Luong Dang Ky
Imprint: Springer International Publishing AG
Country of Publication: Switzerland
Edition: 1st ed. 2017
Volume: 2182
Dimensions: Height: 235mm, Width: 155mm, Spine: 25mm
Weight: 7.256kg
ISBN: 9783319543604
ISBN 10: 3319543601
Series: Lecture Notes in Mathematics
Pages: 468
Publication Date: 10 May 2017
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

Preface. - 1 Musielak-Orlicz Hardy Spaces. - 2 Maximal Function Characterizations of Musielak-Orlicz Hardy Spaces. - 3 Littlewood-Paley Function and Molecular Characterizations of Musielak-Orlicz Hardy Spaces. - 4 Riesz Transform Characterizations of Musielak-Orlicz Hardy Spaces.- 5 Musielak-Orlicz Campanato Spaces. - 6 Intrinsic Square Function Characterizations of Musielak-Orlicz Hardy Spaces. - 7 Weak Musielak-Orlicz Hardy Spaces. - 8 Local Musielak-Orlicz Hardy Spaces.

Reviews for Real-Variable Theory of Musielak-Orlicz Hardy Spaces

“This book provides a detailed and complete survey of recent progress related to the real-variable theory of Musielak-Orlicz Hardy-type function spaces and lays the foundation for further applications. … This book is written for graduate students and researchers interested in function spaces and, in particular, Hardy-type spaces.” (Paul Alton Hagelstein, Mathematical Reviews, October, 2017)