Path connected components in weighted composition operators on $h^\infty $ and $H^\infty $ with the operator norm

DOI10.1090/S0002-9947-2012-05730-8zbMath1282.47048OpenAlexW1712063559MaRDI QIDQ2846976

Yuko Izuchi, Shuichi Ohno, Kei-Ji Izuchi

Publication date: 4 September 2013

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-2012-05730-8

zbMATH Keywords

essential normweighted composition operatorspace of bounded analytic functionspath connected componentspace of bounded harmonic functions

Mathematics Subject Classification ID

Spaces of bounded analytic functions of one complex variable (30H05) Linear operators on function spaces (general) (47B38) Linear composition operators (47B33)

Related Items (11)

Path components of the space of (weighted) composition operators on Bergman spaces ⋮ Path connected components in the space of weighted composition operators on the $QA$ space ⋮ Components of the space of weighted composition operators between different Fock spaces in several variables ⋮ Weighted composition operators between different Fock spaces ⋮ Path Connected Components in the Spaces of Weighted Composition Operators with the Strong Operator Topology II ⋮ Weighted composition operators between Fock spaces ℱ∞(ℂ) and ℱp(ℂ) ⋮ Topological properties of path connected components in spaces of weighted composition operators into \(L^{1}\) ⋮ Boundary vs. interior conditions associated with weighted composition operators ⋮ Topological structure in the space of (weighted) composition operators on weighted Banach spaces of holomorphic functions ⋮ Bounded composition operators on general weighted Hardy spaces ⋮ Weighted composition operators whose ranges contain the disk algebra

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Weighted composition operators on the space of bounded harmonic functions
• Topological structure of the space of weighted composition operators on \(H^\infty\)
• Composition operators on the space of bounded harmonic functions
• Composition operators and classical function theory
• Boundary vs. interior conditions associated with weighted composition operators
• Linear combinations of composition operators on \(H^{\infty }\)
• Essential norms of differences of composition operators on \(H^{\infty}\)
• Isolated points and essential components of composition operators on 𝐻^{∞}
• Topological structure of the space of composition operators on \(H^\infty\).

This page was built for publication: Path connected components in weighted composition operators on $h^\infty $ and $H^\infty $ with the operator norm