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Recent Progress in Hardy Spaces on Manifolds

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Harmonic Analysis in China

Part of the book series: Mathematics and Its Applications ((MAIA,volume 327))

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Abstract

In this paper, we introduce a kind of Hardy spaces HΦ(M) on a connected complete Riemannian manifold M with nonnegative Ricci curvature, set up two characterizations of HΦ(M) for H-increasing function Φ, and, make some brief discussions about Lipschitz spaces Λα(M) (α > 0) and dual of HΦ(M) for Φ(x) = xP (0 < p ≤ 1). At same time, we set up some distribution inequalities about radial maximal function, nontangential maximal function and square function.

Supported by NNSF of P.R.China

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Author information

Authors and Affiliations

  1. Department of Mathematics, Hangzhou University, Hangzhou, 310028, China

    Jiecheng Chen & Silei Wang

Authors
  1. Jiecheng Chen
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  2. Silei Wang
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Editor information

Editors and Affiliations

  1. Department of Mathematics, Peking University, Beijing, China

    Minde Cheng

  2. Department of Mathematics, Zhongshan University, Guangzhou, China

    Dong-gao Deng

  3. Department of Mathematics, University of Science and Technology, Hefei, China

    Sheng Gong

  4. Department of Mathematics, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon,Hong Kong, China

    Chung-Chun Yang

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© 1995 Springer Science+Business Media Dordrecht

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Chen, J., Wang, S. (1995). Recent Progress in Hardy Spaces on Manifolds. In: Cheng, M., Deng, Dg., Gong, S., Yang, CC. (eds) Harmonic Analysis in China. Mathematics and Its Applications, vol 327. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-0141-7_2

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  • DOI: https://doi.org/10.1007/978-94-011-0141-7_2

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4064-8

  • Online ISBN: 978-94-011-0141-7

  • eBook Packages: Springer Book Archive

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