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Wavelets and Real Interpolation of Besov Spaces

Author

Listed:
  • Zhenzhen Lou

    (School of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510006, China
    School of Mathematics and Statistics, Qujing Normal University, Qujing 655011, China)

  • Qixiang Yang

    (School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China)

  • Jianxun He

    (School of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510006, China)

  • Kaili He

    (School of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510006, China)

Abstract

In view of the importance of Besov space in harmonic analysis, differential equations, and other fields, Jaak Peetre proposed to find a precise description of ( B p 0 s 0 , q 0 , B p 1 s 1 , q 1 ) θ , r . In this paper, we come to consider this problem by wavelets. We apply Meyer wavelets to characterize the real interpolation of homogeneous Besov spaces for the crucial index p and obtain a precise description of ( B ˙ p 0 s , q , B ˙ p 1 s , q ) θ , r .

Suggested Citation

  • Zhenzhen Lou & Qixiang Yang & Jianxun He & Kaili He, 2021. "Wavelets and Real Interpolation of Besov Spaces," Mathematics, MDPI, vol. 9(18), pages 1-11, September.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:18:p:2235-:d:633712
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    Cited by:

    1. Zhang, Wanqing & Lin, Zi & Liu, Xiaolei, 2022. "Short-term offshore wind power forecasting - A hybrid model based on Discrete Wavelet Transform (DWT), Seasonal Autoregressive Integrated Moving Average (SARIMA), and deep-learning-based Long Short-Te," Renewable Energy, Elsevier, vol. 185(C), pages 611-628.
    2. Lauren Zimmermann & Subarna Bhattacharya & Soumik Purkayastha & Ritoban Kundu & Ritwik Bhaduri & Parikshit Ghosh & Bhramar Mukherjee, 2021. "SARS-CoV-2 Infection Fatality Rates in India: Systematic Review, Meta-analysis and Model-based Estimation," Studies in Microeconomics, , vol. 9(2), pages 137-179, December.

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