Toeplitz operators with non-trivial kernels and non-dense ranges on weak Hardy spaces

DOI10.1007/978-3-031-13851-5_20OpenAlexW4313341934MaRDI QIDQ6123591

Alexei Yu. Karlovich, Eugene Shargorodsky

Publication date: 5 April 2024

Published in: Toeplitz Operators and Random Matrices (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-031-13851-5_20

zbMATH Keywords

Toeplitz operatorkernelrangeBlaschke productCoburn's LemmaHardy-Marcinkiewicz space

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35)

Cites Work

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• The dual of weak \(L^p\)
• The Brown-Halmos theorem for a pair of abstract Hardy spaces
• Weyl's theorem for nonnormal operators
• Classical Fourier Analysis
• Toeplitz and Hankel operators between distinct Hardy spaces
• The Coburn lemma and the Hartman-Wintner-Simonenko theorem for Toeplitz operators on abstract Hardy spaces

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