Functional calculus estimates for Tadmor-Ritt operators

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.

20 pages, 1 figure

References in corpus (2)

• The $H^{\infty }$-Functional Calculus and Square Function Estimates
• On measuring unboundedness of the $H^{\infty }$-calculus for generators of analytic semigroups

Cited by in corpus (1)

• On measuring unboundedness of the $H^{\infty }$-calculus for generators of analytic semigroups