Univalent interpolation in Besov spaces and superposition into Bergman spaces

DOI10.1007/s11118-008-9081-9zbMath1165.47042OpenAlexW1982544214MaRDI QIDQ934813

Dragan Vukotić, Stephen M. Buckley

Publication date: 30 July 2008

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: http://eprints.maynoothuniversity.ie/1575/1/BuckleyUnival.pdf

zbMATH Keywords

Bergman spacesentire functionssuperposition operatorlittle Bloch spaceTrudinger-Moser inequalitiesanalytic Besov spacesMontel compactnessunivalent interpolation

Mathematics Subject Classification ID

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Dirichlet forms (31C25) Spaces of bounded analytic functions of one complex variable (30H05)

Related Items (18)

Superposition operators between \(Q_p\) spaces and Hardy spaces ⋮ Besov spaces, multipliers and univalent functions ⋮ The nonlinear superposition operators between Zygmund-type and Bloch-type spaces ⋮ The integral weight and superposition operators between Bloch-type spaces ⋮ Superposition operators between normal weight Bloch spaces ⋮ Superposition operators between logarithmic Bloch spaces ⋮ Weighted composition operators in functional Banach spaces: an axiomatic approach ⋮ Properties of superposition operators acting between \(\mathcal{B}_\mu^\ast\) and \(Q_K^\ast\) ⋮ On the growth and range of functions in Möbius invariant spaces ⋮ Bounded superposition operators between Bloch-Orlicz and \(\alpha \)-Bloch spaces ⋮ Superposition operators between weighted Banach spaces of analytic functions of controlled growth ⋮ Superposition operators on Bloch-type spaces ⋮ Superposition operators, Hardy spaces, and Dirichlet type spaces ⋮ HOLOMORPHIC SUPERPOSITION OPERATORS BETWEEN BANACH FUNCTION SPACES ⋮ Boundary behaviour and Taylor coefficients of Besov functions ⋮ Integral superposition-type operators on some analytic function spaces ⋮ Toeplitz-superposition operators on analytic Bloch spaces ⋮ Sequences of zeros of analytic function spaces and weighted superposition operators

Cites Work

• A new proof of a sharp inequality concerning the Dirichlet integral
• Analytic Besov spaces
• Superposition operators on Bloch-type spaces
• Some properties of fractional integrals. II
• Interpolating sequences for Besov spaces
• Superposition operators between the Bloch space and Bergman spaces
• On a Sharp Inequality Concerning the Dirichlet Integral
• Zero Multipliers of Bergman Spaces
• Weighted Trudinger-type inequalities
• On univalent functions in some Möbius invariant spaces
• A property of univalent functions in A_{p}
• Superposition operators between Q_p spaces and Bloch-type spaces
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