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Embedding of Besov Spaces into Tent Spaces and Applications

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Abstract

In this paper, we study the boundedness and compactness of the inclusion map** from Besov spaces to tent spaces. Meanwhile, the boundedness, compactness, and essential norm of Volterra integral operators from Besov spaces to general function spaces are also investigated.

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Funding

The first author was supported by National Natural Science Foundation of China (project nos. 11801250 and 11871257), Overseas Scholarship Program for Elite Young and Middle-aged Teachers of Lingnan Normal University, Yanling Youqing Program of Lingnan Normal University (project no. YL20200202), the Key Program of Lingnan Normal University (project no. LZ1905) and the Innovation and develo** School Project of Guangdong Province (no. 2019KZDXM032).

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Authors and Affiliations

  1. Lingnan Normal University, Guangdong, Zhanjiang, P.R. China

    R. Qian

  2. University of Electronic Science and Technology of China, Sichuan, P.R. China

    S. Li

Authors
  1. R. Qian
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  2. S. Li
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Correspondence to R. Qian or S. Li.

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Qian, R., Li, S. Embedding of Besov Spaces into Tent Spaces and Applications. J. Contemp. Mathemat. Anal. 56, 295–306 (2021). https://doi.org/10.3103/S1068362321050058

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