Composition operators on some Möbius invariant Banach spaces

Shamil Makhmutov, Maria Tjani

Research output: Contribution to journalArticle

20 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)1-19
Number of pages19
JournalBulletin of the Australian Mathematical Society
Issue number1
Publication statusPublished - Aug 2000


ASJC Scopus subject areas

  • Mathematics(all)

Cite this