NDLI: Composition operators on some Möbius invariant Banach spaces

Content Provider	Scilit
Author	Makhmutov, Shamil Tjani, Maria
Copyright Year	2000
Description	We characterise the compact composition operators from any Mobius invariant Banach space to VMOA, the space of holomorphic functions on the unit disk U that have vanishing mean oscillation. We use this to obtain a characterisation of the compact composition operators from the Bloch space to VMOA. Finally, we study some properties of hyperbolic VMOA functions. We show that a function is hyperbolic VMOA if and only if it is the symbol of a compact composition operator from the Bloch space to VMOA.
Related Links	https://www.cambridge.org/core/services/aop-cambridge-core/content/view/F5BE601B52352341301293DE23DD07F8/S0004972700018426a.pdf/div-class-title-composition-operators-on-some-mobius-invariant-banach-spaces-div.pdf
ISSN	00049727
e-ISSN	17551633
DOI	10.1017/s0004972700018426
Journal	Bulletin of the Australian Mathematical Society
Issue Number	1
Volume Number	62
Language	English
Publisher	Cambridge University Press (CUP)
Publisher Date	2000-08-01
Access Restriction	Open
Subject Keyword	Bulletin of the Australian Mathematical Society Applied Mathematics Compact Composition Operators
Content Type	Text
Resource Type	Article
Subject	Mathematics

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