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Real-Variable Theory of Musielak-Orlicz Hardy Spaces - Dachun Yang, Yiyu Liang, Luong Dang Ky

Real-Variable Theory of Musielak-Orlicz Hardy Spaces

Fachbuch-Bestseller
Buch | Softcover
XIII, 468 Seiten
2017 | 1st ed. 2017
Springer International Publishing (Verlag)
978-3-319-54360-4 (ISBN)
CHF 104,80 inkl. MwSt
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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.





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.

"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)

“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)

Erscheinungsdatum
Reihe/Serie Lecture Notes in Mathematics
Zusatzinfo XIII, 468 p. 1 illus.
Verlagsort Cham
Sprache englisch
Maße 155 x 235 mm
Gewicht 735 g
Themenwelt Mathematik / Informatik Mathematik Analysis
Schlagworte 42B35, 46E30, 42B25, 42B20, 42B30, 42B15, 47B06, 4 • 42B35, 46E30, 42B25, 42B20, 42B30, 42B15, 47B06, 47G30 • Atom • bilinear decomposition • commutator • div-curl lemma • dual space • fourier analysis • Functional Analysis • Functional analysis & transforms • Functional analysis & transforms • Hardy space • Littlewood-Paley function • Mathematics • mathematics and statistics • maximal function • Musielak-Orlicz function • operator theory • Real analysis, real variables • real functions • Riesz transform
ISBN-10 3-319-54360-1 / 3319543601
ISBN-13 978-3-319-54360-4 / 9783319543604
Zustand Neuware
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