Zero, finite rank, and compact big truncated Hankel operators on model spaces
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Abstract:
In this paper, we obtain sufficient and necessary conditions for big truncated Hankel operators on model spaces to be zero, or of finite rank or compact. Our main tools are the properties of Hardy Hankel operators and function algebras.References
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Additional Information
- Pan Ma
- Affiliation: School of Mathematics and Statistics, Central South University, Changsha, 410083, People’s Republic of China
- MR Author ID: 1156539
- Email: pan.ma@csu.edu.cn
- Fugang Yan
- Affiliation: School of Mathematics and Statistics, Chongqing University, Chongqing, 401331, People’s Republic of China
- MR Author ID: 1293464
- ORCID: 0000-0002-2183-5408
- Email: fugang_yan@cqu.edu.cn
- Dechao Zheng
- Affiliation: Center of Mathematics, Chongqing University, Chongqing, 401331, People’s Republic of China —and— Department of Mathematics, Vanderbilt University, Nashville, Tennessee 37240
- MR Author ID: 229147
- Email: dechao.zheng@vanderbilt.edu
- Received by editor(s): November 6, 2017
- Received by editor(s) in revised form: March 29, 2018
- Published electronically: July 23, 2018
- Additional Notes: This work is partially supported by NSFC (11271387, 11531003). The first author was also partially supported by research startup foundations of Central South University (502044005).
- Communicated by: Stephan R. Garcia
- © Copyright 2018 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 146 (2018), 5235-5242
- MSC (2010): Primary 47B35
- DOI: https://doi.org/10.1090/proc/14179
- MathSciNet review: 3866862