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Essential Norm of Difference of Composition Operators from Analytic Besov Spaces to Bloch Type Spaces

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Abstract

The boundedness of the difference of composition operators acting from the analytic Besov spaces to the Bloch type spaces is characterized. Some upper and lower bounds for the essential norm of the operator are also given.

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Acknowledgements

The authors would like to thank the referee for his/her useful remarks and suggestions which improved the manuscript. Partial work in this paper was done, while the second author visited the Department of Mathematics, Central University of Jammu, Jammu. He wishes to thank Central University of Jammu for hosting his visit. The research of the first author is partly supported by a research project sponsored by NBHM (DAE)(India), Grant No. 02011/30/2017/R&D II/12565. The research of the second author is partly supported by JSPS KAKENHI Grants-in-Aid for Scientific Research (C), Grant Numbers 17K05282 and 21K03301.

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Authors and Affiliations

  1. A.K. Sharma, Department of Mathematics, Central University of Jammu, (Bagla), Rahya-Suchani, Samba, 181143, J&K, India

    Ajay K. Sharma

  2. Department of Mathematics, Faculty of Science, Tokai University, Hiratsuka, 259-1292, Japan

    Sei-Ichiro Ueki

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  1. Ajay K. Sharma
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  2. Sei-Ichiro Ueki
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Correspondence to Sei-Ichiro Ueki.

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Communicated by Raymond Mortini.

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Sharma, A.K., Ueki, SI. Essential Norm of Difference of Composition Operators from Analytic Besov Spaces to Bloch Type Spaces. Comput. Methods Funct. Theory 22, 683–697 (2022). https://doi.org/10.1007/s40315-021-00425-1

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