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Functional calculus estimates for Tadmor-Ritt operators (1507.00049v1)
Published 30 Jun 2015 in math.FA and math.NA
Abstract: 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.