THE HILBERT–SCHMIDT NORM OF A COMPOSITION OPERATOR ON THE BERGMAN SPACE

DOI10.1017/S0004972716000782zbMath1375.30086OpenAlexW2547928191MaRDI QIDQ2986601

Cheng Yuan, Ze-Hua Zhou

Publication date: 16 May 2017

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972716000782

zbMATH Keywords

Hardy spaceweighted Bergman spacescomposition operatorsHilbert-Schmidt normgeneralised Nevanlinna counting function

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Linear composition operators (47B33) Hardy spaces (30H10) Bergman spaces and Fock spaces (30H20)

Cites Work

• Rudin orthogonality problem on the Bergman space
• The essential norm of a composition operator
• Composition operators and classical function theory
• Composition Operators Belonging to the Schatten Ideals
• Composition Operators
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