On the essential norms of Toeplitz operators on abstract Hardy spaces built upon Banach function spaces

DOI10.1007/S40590-024-00689-2MaRDI QIDQ6655966

Oleksiy Karlovych, Eugene Shargorodsky

Publication date: 27 December 2024

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

zbMATH Keywords

Toeplitz operatorBanach function spaceessential normabstract 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)

Cites Work

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• A general look at local principles with special emphasis on the norm computation aspect
• Best constants for the Riesz projection
• On the essential norms of Toeplitz operators with continuous symbols
• Noncompactness of Toeplitz operators between abstract Hardy spaces
• Hardy Spaces
• On the essential norms of singular integral operators with constant coefficients and of the backward shift
• A bounded orthonormal system of polygonals
• 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

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