Noncompactness of Toeplitz operators between abstract Hardy spaces

DOI10.1007/s43036-021-00128-3OpenAlexW3127587703MaRDI QIDQ2656198

Alexei Yu. Karlovich

Publication date: 10 March 2021

Published in: Advances in Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43036-021-00128-3

zbMATH Keywords

Toeplitz operatorcompactnesspointwise multiplierabstract Hardy 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)

Related Items (2)

When are the norms of the Riesz projection and the backward shift operator equal to one? ⋮ The Coburn lemma and the Hartman-Wintner-Simonenko theorem for Toeplitz operators on abstract Hardy spaces

Cites Work

• One-dimensional linear singular integral equations. I. Introduction. Transl. from the German by Bernd Luderer and Steffen Roch
• Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob
• Notes on interpolation of Hardy spaces
• On functions with conditions on the mean oscillation
• Toeplitz operators on abstract Hardy spaces built upon Banach function spaces
• The Brown-Halmos theorem for a pair of abstract Hardy spaces
• Pointwise multipliers of Calderón-Lozanovskiǐ spaces
• FREDHOLM THEORY OF TOEPLITZ OPERATORS ON THE HARDY SPACE $H^1$
• Bounded Toeplitz Operators on H 1 and Applications of the Duality Between H 1 and the Functions of Bounded Mean Oscillation
• Toeplitz and Hankel operators between distinct Hardy spaces
• Bounded Analytic Functions
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