Composition and multiplication operators on the derivative Hardy space

DOI10.1080/17476933.2017.1327955zbMath1500.47037arXiv1808.10041OpenAlexW2618133856MaRDI QIDQ4685486

Caixing Gu, Shuaibing Luo

Publication date: 9 October 2018

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.10041

zbMATH Keywords

multiplication operatorcomposition operatorreducing subspace\(m\)-isometryNevalinna-Pick kernelderivative Hardy space

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Linear composition operators (47B33) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32) Hardy spaces (30H10) Algebras of analytic functions of one complex variable (30H50) Bergman spaces and Fock spaces (30H20) Blaschke products (30J10)

Related Items

Generalized slant Toeplitz operators on the derivative Hardy space \(S^2(\mathbb{D})\) ⋮ Complex symmetric Toeplitz operators on the generalized derivative Hardy space ⋮ Strict singularity of weighted composition operators on derivative Hardy spaces ⋮ Finite zero-based invariant subspaces of the shift operator on reproducing kernel spaces ⋮ On \(k\)-composition and \(k\)-Hankel composition operators on the derivative Hardy space ⋮ Hyponormal Toeplitz operators with non-harmonic symbols on the generalized derivative Hardy space ⋮ Adjoints of composition operators with linear fractional symbols on the Dirichlet space of the disk or the ball ⋮ Complex symmetric weighted composition-differentiation operators ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Multiplication and Toeplitz operators on the generalized derivative Hardy space ⋮ Higher order local Dirichlet integrals and de Branges-Rovnyak spaces ⋮ Reducing subspaces for the product of a forward and a backward operator-weighted shifts ⋮ Complex symmetric weighted composition operators on the space ⋮ Toeplitz algebra and spectra of Toeplitz operators on the harmonic Dirichlet space

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