A rigidity theorem for composition operators on certain Bergman spaces

DOI10.1307/mmj/1029005235zbMath0865.47023OpenAlexW2009364261MaRDI QIDQ1907023

Barbara D. MacCluer, Thomas L. III. Kriete

Publication date: 20 February 1996

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1307/mmj/1029005235

zbMATH Keywords

Bergman spacecomposition operatorLebesgue area measure

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Linear operators on function spaces (general) (47B38)

Related Items (8)

Non-tangential Burns-Krantz rigidity ⋮ Comparison of singular numbers of composition operators on different Hilbert spaces of analytic functions ⋮ A Burns–Krantz-type Theorem for Pseudo-contractive Mappings ⋮ Another look at the Burns-Krantz theorem ⋮ Uniqueness part of the Schwarz lemma at the boundary ⋮ Bounded composition operators on weighted Bergman spaces. ⋮ Compact differences of composition operators ⋮ The Schwarz Lemma: Rigidity and Dynamics

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