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The ell-p norm of C-I, where C is the Cesaro operator

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Published
<mark>Journal publication date</mark>30/04/2021
<mark>Journal</mark>Mathematical Inequalities and Applications
Issue number2
Volume24
Number of pages7
Pages (from-to)551-557
Publication StatusPublished
<mark>Original language</mark>English

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.