Shift operators on harmonic Hilbert function spaces on real balls and von Neumann inequality

DOI10.1016/J.JFA.2021.109058OpenAlexW3158969884MaRDI QIDQ831109

Daniel Alpay, H. Turgay Kaptanoğlu

Publication date: 10 May 2021

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2021.109058

zbMATH Keywords

von Neumann inequalityDrury-Arveson spaceharmonic shiftharmonic type operator

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Hilbert spaces of continuous, differentiable or analytic functions (46E20) Spherical harmonics (33C55) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Uses Software

• DLMF

Cites Work

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