Norm of the discrete Cesàaro operator minus identity

DOI10.7153/mia-2022-25-04OpenAlexW4206098310MaRDI QIDQ5030416

Gordon Sinnamon

Publication date: 17 February 2022

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.14200

zbMATH Keywords

operator normHardyCesàro

Mathematics Subject Classification ID

Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Inequalities for sums, series and integrals (26D15) Operator theory (47-XX)

Related Items (2)

The norm of the Cesàro operator minus the identity and related operators acting on decreasing sequences ⋮ End-point norm estimates for Cesàro and Copson operators

Cites Work

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• Solution to a conjecture on the norm of the Hardy operator minus the identity
• On the weak-type constant of the Beurling-Ahlfors transform
• Averaging operators on decreasing or positive functions: equivalence and optimal bounds
• Sharp inequalities for the Beurling-Ahlfors transform on radial functions
• Hardy's operator minus identity and power weights
• The L^p-norms of the Beurling–Ahlfors transform on radial functions
• Factorizing the classical inequalities
• The ℓ_p-norm of C-I, where C is the Cesàro operator

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