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Fangmei Sun and
Hasi Wulan
Strongly continuous composition semigroups on analytic Morrey spaces
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| Published: |
October 16, 2022. |
| Keywords: |
composition operator semigroup; strongly continuous; maximal closed subspace; analytic Morrey space; Denjoy-Wolff point. |
| Subject [2010]: |
30D45, 30D99, 30H25, 47B38. |
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Abstract
We study composition operators on analytic Morrey spaces induced by a semi-group of analytic self-maps of the
open unit disk. We completely characterize the maximal subspace of a given Morrey space when the semi-group of symbols
generates a strongly continuous semi-group of composition operators on the subspace. The characterization is based on the resolvent operator and the infinitesimal generator under the assumption that the Denjoy-Wolff point of the symbol
semi-group lies inside the unit disk.
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| Acknowledgements
This research is supported by NNSF of China (No.11720101003, 12271328) and Guangdong Basic and Applied-basic Research Foundation (No. 2022A1515012117).
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| Author information
Fangmei Sun:
Department of Mathematics
Shantou University
Guangdong 515063, China
18fmsun@stu.edu.cn
Hasi Wulan:
Department of Mathematics
Shantou University
Guangdong 515063, China
wulan@stu.edu.cn
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