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- W2562207234 abstract "We study [φt,X], the maximal space of strong continuity for a semigroup of composition operators induced by a semigroup {φt}t≥0 of analytic self-maps of the unit disk, when X is BMOA, H∞ or the disk algebra. In particular, we show that [φt,BMOA]≠BMOA for all nontrivial semigroups. We also prove, for every semigroup {φt}t≥0, that limt→0+φt(z)=z not just pointwise, but in H∞ norm. This provides a unified proof of known results about [φt,X] when X∈{Hp,Ap,B0,VMOA}." @default.
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- W2562207234 date "2017-05-01" @default.
- W2562207234 modified "2023-10-14" @default.
- W2562207234 title "Composition semigroups on BMOA and H∞" @default.
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- W2562207234 doi "https://doi.org/10.1016/j.jmaa.2016.12.032" @default.
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