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Real-Variable Theory of Musielak-Orlicz Hardy Spaces pp 59–70Cite as

Maximal Function Characterizations of Musielak-Orlicz Hardy Spaces

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2182))

Abstract

In this chapter, we establish some real-variable characterizations of \(H^{\varphi }(\mathbb{R}^{n})\) in terms of the vertical or the non-tangential maximal functions, via first establishing a Musielak-Orlicz Fefferman-Stein vector-valued inequality.

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References

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Author information

Authors and Affiliations

  1. School of Mathematical Sciences, Beijing Normal University, Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing, People’s Republic of China

    Dachun Yang

  2. Department of Mathematics, School of Sciences, Beijing Jiaotong University, Beijing, People’s Republic of China

    Yiyu Liang

  3. Department of Mathematics, University of Quy Nhon, Quy Nhon, Vietnam

    Luong Dang Ky

Authors
  1. Dachun Yang
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  2. Yiyu Liang
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  3. Luong Dang Ky
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Yang, D., Liang, Y., Ky, L.D. (2017). Maximal Function Characterizations of Musielak-Orlicz Hardy Spaces. In: Real-Variable Theory of Musielak-Orlicz Hardy Spaces. Lecture Notes in Mathematics, vol 2182. Springer, Cham. https://doi.org/10.1007/978-3-319-54361-1_2

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