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arxiv: 1507.00049 · v1 · pith:XZ6LO2BWnew · submitted 2015-06-30 · 🧮 math.FA · cs.NA· math.NA

Functional calculus estimates for Tadmor-Ritt operators

classification 🧮 math.FA cs.NAmath.NA
keywords estimatesoperatorstadmor-rittcalculusfunctionalknownbestconformity
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We show $H^{\infty}$-functional calculus estimates for Tadmor-Ritt operators (also known as Ritt operators), which generalize and improve results by Vitse. These estimates are in conformity with the best known power-bounds for Tadmor-Ritt operators in terms of the constant dependence. Furthermore, it is shown how discrete square function estimates influence the estimates.

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