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Calderon-Zygmund Operator Theory and Function Spaces

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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

Many fields in analysis require the study of specific function spaces. In harmonic analysis the Lebesgue spaces LP, the Hardy spaces HP, various forms of Lipschitz spaces and the space BMO are important. Similarly, the Sobolev spaces L Pk are basic in the study of partial differential equations. From the original definitions of these spaces, it may not appear that they are closely related. There are, however, various unified approaches to their study. The Littlewood-Paley theory provides one of the most successful unifying perspectives on these and other function spaces.

The author is supported in part by the Foundation of Zhongshan University Advanced Research Center.

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Author information

Authors and Affiliations

  1. Zhongshan University, China

    Deng Donggao

  2. Auburn University, USA

    Y.-S. Han

Authors
  1. Deng Donggao
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  2. Y.-S. Han
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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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Donggao, D., Han, YS. (1995). Calderon-Zygmund Operator Theory and Function Spaces. 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_3

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  • DOI: https://doi.org/10.1007/978-94-011-0141-7_3

  • 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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