2010/05/26 by Themis Mitsis, Mitsis, Themis, Michael Papadimitrakis +1
Mathematics · #47B33 #Advanced Topics in Algebra #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #math.CV #msc:47B33
paper · pdf · doi:10.48550/arxiv.1005.4935
11 pages
openalex publication_date 2010/05/26 · arxiv created 2010/08/04 · arxiv updated 2010/08/05 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28
We derive a formula for the essential norm of a composition operator on the minimal Mobius invariant space of analytic functions. As an application, we show that the essential norm of a non-compact composition operator is at least 1. We also obtain lower bounds depending on the behavior of the symbol near the boundary, and calculate the order of magnitude of the essential norm of composition operators induced by finite Blaschke products.