Functional calculus estimates for Tadmor-Ritt operators

Felix L. Schwenninger*

*Corresponding author for this work

    Research output: Contribution to journalArticleAcademicpeer-review

    1 Citation (Scopus)

    Abstract

    We show H-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 functional calculus estimates.

    Original languageEnglish
    Pages (from-to)103-124
    Number of pages22
    JournalJournal of mathematical analysis and applications
    Volume439
    Issue number1
    DOIs
    Publication statusPublished - 1 Jul 2016

    Keywords

    • Functional calculus
    • Kreiss Matrix Theorem
    • Power-bounded operator
    • Ritt operator
    • Square function estimates
    • Tadmor-Ritt operator

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