Spectral theory of multiplication operators on Hardy-Sobolev spaces

DOI10.1016/j.jfa.2018.05.017zbMath1402.32007arXiv1709.02047OpenAlexW2963479874WikidataQ129750962 ScholiaQ129750962MaRDI QIDQ1642291

Li He, Guang Fu Cao, K. H. Zhu

Publication date: 20 June 2018

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.02047

zbMATH Keywords

spectrumFredholm propertymultiplication operatorunit ballHardy-Sobolev spaces

Mathematics Subject Classification ID

Bergman spaces of functions in several complex variables (32A36) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Related Items

Unified approach to spectral properties of multipliers ⋮ Kernels and spectrum of Toeplitz operators on the Dirichlet space ⋮ Fredholm composition operators on Hardy-Sobolev spaces with bounded reproducing kernel ⋮ Fredholm composition operators and proper holomorphic mappings ⋮ Fredholm and frame-preserving weighted composition operators ⋮ Compact Toeplitz operators products on Hardy-Sobolev spaces over the unit polydisk ⋮ Hankel operators with pluriharmonic symbols on Hardy-Sobolev spaces ⋮ Optimal approximants and orthogonal polynomials in several variables II: Families of polynomials in the unit ball ⋮ Spectrum, asymptotic invertibility and Szegö type theorems of Dirichlet Toeplitz operators ⋮ Sums of dual Toeplitz products on the orthogonal complements of the Hardy-Sobolev spaces ⋮ Toeplitz operators on Hardy-Sobolev spaces

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