Functional calculus estimates for Tadmor-Ritt operators
arXiv:1507.00049
Originality Synthesis-oriented
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Provides sharper theoretical bounds for a class of operators, relevant to functional analysis and numerical analysis communities.
The paper establishes improved H∞-functional calculus estimates for Tadmor-Ritt operators, generalizing prior work by Vitse and achieving optimal constant dependence in power bounds.
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.