English

Functional calculus estimates for Tadmor-Ritt operators

Functional Analysis 2016-09-29 v1 Numerical Analysis

Abstract

We show HH^{\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.

Cite

@article{arxiv.1507.00049,
  title  = {Functional calculus estimates for Tadmor-Ritt operators},
  author = {Felix Schwenninger},
  journal= {arXiv preprint arXiv:1507.00049},
  year   = {2016}
}

Comments

20 pages, 1 figure

R2 v1 2026-06-22T10:03:23.714Z