On the essential norms of singular integral operators with constant coefficients and of the backward shift

DOI10.1090/bproc/118zbMath1486.45023OpenAlexW4221063692MaRDI QIDQ5068128

Alexei Yu. Karlovich, Eugene Shargorodsky

Publication date: 5 April 2022

Published in: Proceedings of the American Mathematical Society, Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/bproc/118

zbMATH Keywords

normmeasure of noncompactnessessential normbackward shift operatorrearrangement-invariant Banach function spaceabstract Hardy singular integral operator

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) Applications of operator theory to differential and integral equations (47N20) Integral operators (45P05) Linear operators on function spaces (general) (47B38) Abstract integral equations, integral equations in abstract spaces (45N05) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08) Hardy spaces (30H10)

Related Items (1)

When are the norms of the Riesz projection and the backward shift operator equal to one?

Cites Work

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• Banach algebras with symbol and singular integral operators. Transl. from the Russian by A. Iacob
• A general look at local principles with special emphasis on the norm computation aspect
• 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
• Measures of noncompactness in metric fixed point theory
• Best constants for the Riesz projection
• On the essential norm of the Cauchy singular integral operator in weighted rearrangement-invariant spaces
• Bounds on the norm of the backward shift and related operators in Hardy and Bergman spaces
• Introduction to the theory of Toeplitz operators with infinite index. Transl. from the Russian by Andrei Iacob
• On the essential norms of Toeplitz operators with continuous symbols
• The Brown-Halmos theorem for a pair of abstract Hardy spaces
• Semigroups of operators and measures of noncompactness
• The Spectrum of Singular Integral Operators in L p Spaces
• Sequence Spaces and Measures of Noncompactness with Applications to Differential and Integral Equations
• Spaces Between a Pair of Reflexive Lebesgue Spaces
• Composition Operators
• On the best values of the constants in the theorem of M. Riesz, Zygmund and Kolmogorov

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