Composition Operators on Analytic Lipschitz Spaces

DOI10.2307/2159930zbMath0793.47037OpenAlexW4235913214MaRDI QIDQ3142846

Kevin M. Madigan

Publication date: 18 August 1994

Full work available at URL: https://doi.org/10.2307/2159930

zbMATH Keywords

Lipschitz spacescomposition operator

Mathematics Subject Classification ID

Linear operators defined by compactness properties (47B07) Conformal mappings of special domains (30C20) Linear operators on function spaces (general) (47B38) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (27)

Composition operators in Bloch spaces of slice hyperholomorphic functions ⋮ Composition type operator from Bergman space to \(\mu\)-Bloch type space in \(\mathbb{C}^n\) ⋮ Composition operators acting on holomorphic Sobolev spaces ⋮ Composition operators on Bloch and Hardy type spaces ⋮ Weighted composition operators from Hardy to Zygmund type spaces ⋮ Volterra integral operators from Dirichlet type spaces into Hardy spaces ⋮ Essential norms of composition operators between Bloch type spaces in the polydisk ⋮ Composition operators on holomorphic variable exponent spaces ⋮ POWERS OF COMPOSITION OPERATORS: ASYMPTOTIC BEHAVIOUR ON BERGMAN, DIRICHLET AND BLOCH SPACES ⋮ Fredholm and semi-Fredholm composition operators on the small Bloch-type spaces ⋮ Weighted composition operators on the Zygmund space ⋮ Bloch Mappings on Bounded Symmetric Domains ⋮ Weighted composition operators between Bloch-type spaces. ⋮ Harmonic Lipschitz type spaces and composition operators meet majorants ⋮ Compact differences of composition operators on Bloch and Lipschitz spaces ⋮ Composition operators between analytic Campanato spaces ⋮ Extreme points of the closed convex hull of composition operators ⋮ Derivative-free characterizations of bounded composition operators between Lipschitz spaces ⋮ Weighted composition operators on analytic Lipschitz spaces ⋮ DERIVATIVE-FREE CHARACTERIZATIONS OF COMPACT GENERALIZED COMPOSITION OPERATORS BETWEEN ZYGMUND TYPE SPACES ⋮ Norm equivalence and composition operators between Bloch/Lipschitz spaces of the ball ⋮ Essential norms of composition operators between Bloch type spaces ⋮ Isometric and closed-range composition operators between Bloch-type spaces ⋮ Topological structure of the space of composition operators on \(H^\infty\). ⋮ Boundedness of self-map composition operators for two types of weights on the upper half-plane ⋮ Composition operators of Bloch-type spaces on bounded symmetric domains ⋮ Weighted differentiation composition operators between normal weight Zygmund spaces and Bloch spaces in the unit ball of \({C}^{\text{n}}\) for \({n}>1\)

Cites Work

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• Composition operators on a space of Lipschitz functions
• Bloch type spaces of analytic functions
• Compact Composition Operators on Spaces of Boundary-Regular Holomorphic Functions
• Distances and Banach Spaces of Holomorphic Functions on Complex Domains

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