Real-Variable Theory of Musielak-Orlicz Hardy Spaces

  • Dachun Yang
  • Yiyu Liang
  • Luong Dang Ky
Part of the Lecture Notes in Mathematics book series (LNM, volume 2182)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Dachun Yang, Yiyu Liang, Luong Dang Ky
    Pages 1-57
  3. Dachun Yang, Yiyu Liang, Luong Dang Ky
    Pages 59-70
  4. Dachun Yang, Yiyu Liang, Luong Dang Ky
    Pages 109-144
  5. Dachun Yang, Yiyu Liang, Luong Dang Ky
    Pages 145-166
  6. Dachun Yang, Yiyu Liang, Luong Dang Ky
    Pages 167-193
  7. Dachun Yang, Yiyu Liang, Luong Dang Ky
    Pages 195-253
  8. Dachun Yang, Yiyu Liang, Luong Dang Ky
    Pages 255-327
  9. Dachun Yang, Yiyu Liang, Luong Dang Ky
    Pages 329-395
  10. Dachun Yang, Yiyu Liang, Luong Dang Ky
    Pages 423-452
  11. Back Matter
    Pages 453-468

About this book

Introduction

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.




Keywords

Musielak-Orlicz function Hardy space atom maximal function Riesz transform Littlewood-Paley function dual space bilinear decomposition div-curl lemma commutator 42B35, 46E30, 42B25, 42B20, 42B30, 42B15, 47B06, 47G30

Authors and affiliations

  • Dachun Yang
    • 1
  • Yiyu Liang
    • 2
  • Luong Dang Ky
    • 3
  1. 1.School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of EducationBeijingChina
  2. 2.Department of Mathematics, School of SciencesBeijing Jiaotong UniversityBeijingChina
  3. 3.Department of MathematicsUniversity of Quy NhonQuy NhonVietnam

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-54361-1
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-54360-4
  • Online ISBN 978-3-319-54361-1
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book