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Essential norms of weighted composition opera- tors on BMOA and the Bloch space

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DMV-PTM Mathematical Meeting 17–20.09.2014, Pozna´n

Essential norms of weighted composition opera- tors on BMOA and the Bloch space

Mikael Lindstr¨om

˚Abo Akademi University, Finland mikael.lindstrom@abo.fi

Session: Spaces of analytic functions

In this talk I will discuss new function-theoretic estimates for the essential norm of arbitrary weighted composition operators uCϕ: f 7→ u(f ◦ ϕ) acting on the space BMOA and the Bloch space, where ϕ is an analytic self-map of the open unit disc D and u : D → C is an analytic function.

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