Semigroups of composition operators on Qp spaces

• Published in: Journal of mathematical analysis and applications Vol. 496; no. 2
• Main Authors: Wu, Fanglei, Wulan, Hasi
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 15.04.2021
• Subjects: [formula omitted] space; Composition semigroup; Denjoy-Wolff point; Maximal closed subspace; Strongly continuous; Qp space; Qp,0 space; Maximal closed subspace; Composition semigroup; Denjoy-Wolff point; Strongly continuous

In this paper we prove that no non-trivial semigroup (φt)t≥0 consisting of analytic self-maps of the unit disk D generates a strongly continuous composition semigroup on Qp for p>0; that is, [φt,Qp]⫋Qp, which answers a question asked by A.G. Siskakis in 1996. We also give an affirmative answer to...