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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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
Keywords
- Carleson measure
- \(\mathcal {F}(p</Keyword> <Keyword>p-2</Keyword> <Keyword>s)\) space
- Volterra integral operator