DIFFERENCES OF COMPOSITION OPERATORS ON THE BLOCH SPACE IN THE POLYDISC

DOI10.1017/S0004972709000045zbMath1166.47032OpenAlexW1990239621MaRDI QIDQ3633335

Zhong-Shan Fang, Ze-Hua Zhou

Publication date: 18 June 2009

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

Full work available at URL: https://doi.org/10.1017/s0004972709000045

zbMATH Keywords

Bloch spaceessential normcomposition operatorcompact differencepolydiscs

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Linear composition operators (47B33)

Related Items (8)

Difference of weighted composition operators from \(\alpha\)-Bloch spaces to \(\beta\)-Bloch spaces ⋮ The compactness of the sum of weighted composition operators on the ball algebra ⋮ Essential norms of composition operators between Bloch type spaces in the polydisk ⋮ The topological structure of weighted composition operators from Lipschitz spaces to \(H^{\infty}\) ⋮ Topological structures of derivative weighted composition operators on the Bergman space ⋮ Differences of weighted composition operators from hardy space to weighted-type spaces on the unit ball ⋮ Essential norm of the difference of composition operators on Bloch space ⋮ Differences of the products of integral type and composition operators fromH^∞to the Bloch space

Cites Work

• Essential norms of composition operators
• Topological components of the set of composition operators on \(H^\infty(B_N)\)
• Topological structures of the sets of composition operators on the Bloch spaces
• Bloch Functions in Several Complex Variables, I
• Bloch functions in several complex variables. II.

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