Functional calculus estimates for Tadmor-Ritt operators

Felix L. Schwenninger

doi:10.1016/j.jmaa.2016.02.049

Functional calculus estimates for Tadmor-Ritt operators

Felix L. Schwenninger^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

4 Citations (Scopus)

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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 language	English
Pages (from-to)	103-124
Number of pages	22
Journal	Journal of mathematical analysis and applications
Volume	439
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2016.02.049
Publication status	Published - 1 Jul 2016

Keywords

Functional calculus
Kreiss Matrix Theorem
Power-bounded operator
Ritt operator
Square function estimates
Tadmor-Ritt operator
2023 OA procedure

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10.1016/j.jmaa.2016.02.049

Schwenninger2016functionalFinal published version, 546 KBLicence: Taverne

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AB - 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.

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KW - Kreiss Matrix Theorem

KW - Power-bounded operator

KW - Ritt operator

KW - Square function estimates

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KW - 2023 OA procedure

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Functional calculus estimates for Tadmor-Ritt operators

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Keywords

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