End-point norm estimates for Cesàro and Copson operators

DOI10.1007/s10231-023-01390-3arXiv2211.01988OpenAlexW4387655114MaRDI QIDQ6196062

Bizuneh M. Demissie, Sorina Barza, Gordon Sinnamon

Publication date: 14 March 2024

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.01988

zbMATH Keywords

Cesàro operatoroperator normbest constantCopson operator

Mathematics Subject Classification ID

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

Cites Work

• Solution to a conjecture on the norm of the Hardy operator minus the identity
• Averaging operators on decreasing or positive functions: equivalence and optimal bounds
• Monotonic averages of convex functions
• Hardy's operator minus identity and power weights
• Weak-type and end-point norm estimates for Hardy operators
• On the Cesàro and Copson norms of nonnegative sequences
• 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
• Norm of the discrete Cesàaro operator minus identity