H^∞ Functional Calculus for a Commuting tuple of Ritt_E Operators

2025/05/09 by Mondal, Suman, Palai, Subhajit, Ray, Samya Kumar
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2505.05788

Abstract

In this article, we develop a framework for the joint functional calculus of commuting tuples of Ritt_E operators on Banach spaces. We establish a transfer principle that relates the bounded holomorphic functional calculus for tuples of Ritt_E operators to that of their associated sectorial counterparts. In addition, we prove a joint dilation theorem for commuting tuples of Ritt_E operators on a broad class of Banach spaces. As a key application, we obtain an equivalent set of criteria on L^p-spaces for 1

Related

• H^\∞-functional calculus for commuting families of Ritt operators\n and sectorial operators
• The H^∞-calculus and sums of closed operators
• Square functions for commuting families of Ritt operators
• New properties of the multivariable H^∞ functional calculus of sectorial operators
• H^∞ functional calculus and square function estimates for Ritt operators