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Wavelet characterization of weighted Triebel-Lizorkin spaces

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Analysis in Theory and Applications

Abstract

In this paper we use wavelets to characterize weighted Triebel-Lizorkin spaces. Our weights belong to the Muckenhoupt class Aq and our weighted Triebel-Lizorkin spaces. are weighted atomic Triebel-Lizorkin spaces.

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Authors and Affiliations

  1. Department of Mathematics, Zhongshan University, 510275, Guangzhou, P. R. China

    Deng Donggao, Xu Ming & Yan Lixin

Authors
  1. Deng Donggao
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  2. Xu Ming
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  3. Yan Lixin
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Additional information

The project supported by NSF of China and the Foundation of Advanced Research Center of Zhong-shan University.

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Donggao, D., Ming, X. & Lixin, Y. Wavelet characterization of weighted Triebel-Lizorkin spaces. Approx. Theory & its Appl. 18, 69–85 (2002). https://doi.org/10.1007/BF02845276

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  • DOI: https://doi.org/10.1007/BF02845276

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