Intrinsic operators from holomorphic function spaces to growth spaces

DOI10.1007/s00020-017-2361-2OpenAlexW2595810598MaRDI QIDQ1676900

Nina Zorboska

Publication date: 10 November 2017

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.04763

zbMATH Keywords

boundednesscompactnessBanach spaces of holomorphic functionspoint evaluationsgrowth spaces

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Banach spaces of continuous, differentiable or analytic functions (46E15) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32) Spaces and algebras of analytic functions of one complex variable (30H99)

Related Items (5)

Essential norm of intrinsic operators from Banach spaces of analytic functions into weighted-type spaces ⋮ Volterra type operators between Bloch type spaces and weighted Banach spaces ⋮ Essential norms of weighted composition operators between Lipschitz spaces of arbitrary order ⋮ Products of composition, multiplication and iterated differentiation operators between Banach spaces of holomorphic functions ⋮ Products of composition, multiplication and radial derivative operators between Banach spaces of holomorphic functions on the unit ball

Cites Work

• Integral operators mapping into the space of bounded analytic functions
• Operator norms and essential norms of weighted composition operators between Banach spaces of analytic functions
• Resolvent estimates and decomposable extensions of generalized Cesàro operators
• Bloch type spaces of analytic functions
• On an integral operator on the unit ball in \(\mathbb{C}^n\)
• An Introduction to Banach Space Theory
• Compact composition operators on Besov spaces
• Weighted Composition Operators on Weighted Banach Spaces of Analytic Functions
• Extended Cesàro operators on mixed norm spaces
• Compact Composition Operators on the Bloch Space
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