Composition Operators on F(p,q,s) Type Spaces in the Unit Ball of Cn

Composition Operators on F(p,q,s) Type Spaces in the Unit Ball of Cn

In this paper, the authors characterize those φ so that the composition operator C φ is bounded (or compact) on F ( p ,  q ,  s ) type spaces in the unit ball of C n . By the measure theory and a partition of unit ball, the authors give necessary conditions and sufficient conditions in some cases. E...

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Veröffentlicht in:Complex analysis and operator theory 2018, Vol.12 (1), p.141-154
Hauptverfasser: Zhang, Xuejun, Xu, Si, Li, Shenlian, Xiao, Jianbin
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Mathematics
Mathematics and Statistics
Operator Theory
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Zusammenfassung:In this paper, the authors characterize those φ so that the composition operator C φ is bounded (or compact) on F ( p ,  q ,  s ) type spaces in the unit ball of C n . By the measure theory and a partition of unit ball, the authors give necessary conditions and sufficient conditions in some cases. Especially, the simple necessary and sufficient conditions are given when s > n and q + n + 1 > p .
ISSN:1661-8254
1661-8262
DOI:10.1007/s11785-016-0610-z