Jameson, Graham
(2021)
*The ell-p norm of C-I, where C is the Cesaro operator.*
Mathematical Inequalities and Applications, 24 (2).
pp. 551-557.
ISSN 1331-4343

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## Abstract

For the Cesaro operator C, it is known that ||C-I||_2 = 1. Here we prove that ||C-I||_4 < 3^(1/4) and ||C^T-I||_4 = 3. Bounds for intermediate values of p are derived from the Riesz-Thorin interpolation theorem. An estimate for lower bounds is obtained.

Item Type:

Journal Article

Journal or Publication Title:

Mathematical Inequalities and Applications

Uncontrolled Keywords:

/dk/atira/pure/subjectarea/asjc/2600/2604

Subjects:

?? cesarohardyinequalityaverageapplied mathematicsgeneral mathematicsmathematics(all) ??

Departments:

ID Code:

152962

Deposited By:

Deposited On:

22 Mar 2021 11:25

Refereed?:

Yes

Published?:

Published

Last Modified:

25 Aug 2024 23:51