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Composition operators on Hardy spaces of Dirichlet
- 来源：
- 学校官网
- 收录时间：
- 2025-01-19 13:27:28
- 时间：
- 2024-12-12 14:30:00
- 地点：
- 腾讯会议（线上）
- 报告人：
- 王茂发
- 学校：
- -/-
- 关键词：
- composition operators, Hardy spaces, Dirichlet series, boundedness, compactness
- 简介：
- In this talk, we completely characterize the boundedness of composition operators with zero characteristic acting on the Hardy spaces of Dirichlet series $\mathscr{H}^p$ $(p>2)$, which resolves an open problem since the bounded composition operators on the Hilbert space of Dirichlet series were described by Gordon and Hedenmalm in 1999. Our strategy is completely different from what has been known so far. The characterization of compact composition operators generated by Dirichlet series symbols on $\mathscr{H}^p$ $(p\geq2)$ is also obtained.
- -/- 177
报告介绍：
In this talk, we completely characterize the boundedness of composition operators with zero characteristic acting on the Hardy spaces of Dirichlet series $\mathscr{H}^p$ $(p>2)$, which resolves an open problem since the bounded composition operators on the Hilbert space of Dirichlet series were described by Gordon and Hedenmalm in 1999. Our strategy is completely different from what has been known so far. The characterization of compact composition operators generated by Dirichlet series symbols on $\mathscr{H}^p$ $(p\geq2)$ is also obtained.
报告人介绍：
王茂发，武汉大学数学与统计学院教授、博士生导师，主要研究领域为泛函分析及其应用，先后承担国家自然科学基金重点项目、面上项目等多项，在J. Funct. Anal., J. Operator Theory, Math. Z., Indiana Univ. Math. J., Studia Mathematica, Sci. China Math.等期刊上发表学术论文数十篇。
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