Abstract
In this paper, we study the boundedness and compactness of the identity operator \(I:BMOA_{\log }\rightarrow \mathcal {T}^{\infty }_{\log }(\mu )\). As applications, we characterize the boundedness and compactness of the Volterra integral operators \(T_g\) and \(I_g\) on the space \(BMOA_{\log }\). The estimations for the essential norm of \(T_g\) and \(I_g\) on the space \(BMOA_{\log }\) are also given.
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Communicated by Pekka Koskela.
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The research was supported by the NNSF of China (No. 11571217, 11720101003, 11871293) and NSF of Guangdong (No. 2018A030313512). The authors thank the referees for useful remarks and comments that led to the improvement of this paper.
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Shen, C., Lou, Z. & Li, S. Embedding of \(BMOA_{\log }\) into Tent Spaces and Volterra Integral Operators. Comput. Methods Funct. Theory 20, 217–234 (2020). https://doi.org/10.1007/s40315-020-00312-1
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DOI: https://doi.org/10.1007/s40315-020-00312-1