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Variable Integral Exponent Besov and Triebel-Lizorkin Spaces Associated with Non-negative Self-Adjoint Operators

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New Trends in Analysis and Interdisciplinary Applications

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Abstract

In this paper, variable integral exponent Besov and Triebel-Lizorkin spaces associated with a non-negative self-adjoint operator are introduced. Then equivalent norms and atomic decompositions of these new spaces are given.

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Acknowledgements

This work was completed with the support of the National Natural Science Foundation of China (Grant No. 11361020) and the Natural Science Foundation of Hainan Province (Grant No. 20151011).

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Authors and Affiliations

  1. Department of Mathematics, Hainan Normal University, Haikou, 571158, People’s Republic of China

    Jingshi Xu & Xiaodi Yang

Authors
  1. Jingshi Xu
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  2. Xiaodi Yang
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Corresponding author

Correspondence to Jingshi Xu .

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Editors and Affiliations

  1. Faculty of Information Technology, Macau University of Science and Technology, Taipa, Macao

    Pei Dang

  2. Department of Mathematics, University of Aveiro, Aveiro, Portugal

    Min Ku

  3. Faculty of Science and Technology, Department of Mathematics, University of Macau, Taipa, Macao

    Tao Qian

  4. Department of Mathematics, University of Torino, Torino, Italy

    Luigi G. Rodino

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Xu, J., Yang, X. (2017). Variable Integral Exponent Besov and Triebel-Lizorkin Spaces Associated with Non-negative Self-Adjoint Operators. In: Dang, P., Ku, M., Qian, T., Rodino, L. (eds) New Trends in Analysis and Interdisciplinary Applications. Trends in Mathematics(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-48812-7_33

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