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Embedding of \(\mathcal {F}(p,p-2,s)\) spaces into tent spaces and Volterra integral operator

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Abstract

This paper characterizes boundedness and compactness of the identity operator \(I_d: \mathcal {F}(p,p-2,s)\rightarrow \mathcal {T}_{t,m}^q(\mu ) \). Applying this result, we obtain the characterization of the boundedness of the Volterra integral operator \(T_g\) from \(\mathcal {F}(p,p-2,s)\) spaces to \( \mathcal {LF}(q,q-2,t)\) spaces. Furthermore, the compactness and essential norm of \(T_g: \mathcal {F}(p,p-2,s)\rightarrow \mathcal {LF}(q,q-2,t)\) are also investigated.

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Authors and Affiliations

  1. Institute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China, Chengdu, 610054, Sichuan, People’s Republic of China

    Lian Hu & Rong Yang

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  1. Lian Hu
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  2. Rong Yang
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Correspondence to Rong Yang.

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Hu, L., Yang, R. Embedding of \(\mathcal {F}(p,p-2,s)\) spaces into tent spaces and Volterra integral operator. Ricerche mat 73, 741–753 (2024). https://doi.org/10.1007/s11587-021-00633-w

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  • DOI: https://doi.org/10.1007/s11587-021-00633-w

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