H^∞ functional calculus and square function estimates for Ritt operators

2012/02/03 by Christian Le Merdy, Merdy, Christian Le · 1 citation
Mathematics · #47A60 #47A99 #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory

paper · pdf · doi:10.48550/arxiv.1202.0768

openalex publication_date 2012/02/03 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

A Ritt operator T : X --> X on Banach space is a power bounded operator such that the sequence of all n(Tⁿ -T^n-1) is bounded. When X=Lp for some 1

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