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Real-variable theory of musielak-orlicz hardy spaces / Dachun Yang, Yiyu Liang and Luomg Dang Ky.

By: Yang, Dachun [author].
Contributor(s): Liang, Yiyu [author] | Ky, Luong Dang [author].
Material type: TextTextSeries: Lecture notes in mathematics ; 2182.Publisher: Cham : Springer, 2017Description: xiii, 466 pages ; 24 cm.ISBN: 9783319543604 (alk. paper).Subject(s): Fourier analysisDDC classification: 515.2433
Contents:
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. - 9 Musielak-Orlicz Besov-Type and Triebel-Lizorkin-Type spaces. - 10. Para[rpdicts amd [rpdicts pf fimctopms om BMO(R) and H1(R) tjrpigj wabe;ets. - 11. Bilinear Decompositions and Commutators of Calderon-Zygmund Operators.
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.
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Include index and bibliographical references and index.

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. -
9 Musielak-Orlicz Besov-Type and Triebel-Lizorkin-Type spaces. -
10. Para[rpdicts amd [rpdicts pf fimctopms om BMO(R) and H1(R) tjrpigj wabe;ets. -
11. Bilinear Decompositions and Commutators of Calderon-Zygmund Operators.

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.

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