Functional calculus for a bounded \(C_0\)-semigroup on Hilbert space

DOI10.1016/j.jfa.2023.109900OpenAlexW4221149565MaRDI QIDQ2692688

Christian Le Merdy, Loris Arnold

Publication date: 22 March 2023

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.04440

zbMATH Keywords

Fourier multiplierssemigroupsHardy spacesfunctional calculus

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Functional calculus for linear operators (47A60) Spaces of bounded analytic functions of one complex variable (30H05)

Related Items

FUNCTIONAL CALCULI FOR SECTORIAL OPERATORS AND RELATED FUNCTION THEORY, A continuous-parameter Katznelson–Tzafriri theorem for algebras of analytic functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Convolution operators on groups
• Transference principles for semigroups and a theorem of Peller
• Interpolation between \(H^ p\) spaces and non-commutative generalizations. I
• \(\gamma \)-bounded representations of amenable groups
• Examples of unbounded imaginary powers of operators
• The similarity problem for bounded analytic semigroups on Hilbert space
• Conditions on the generator of a uniformly bounded \(C_0\)-semigroup
• Characteristic conditions of the generation of \(C_0\) semigroups in a Hilbert space
• The theory of Besov functional calculus: developments and applications to semigroups
• A Besov algebra calculus for generators of operator semigroups and related norm-estimates
• Functional calculus for semigroup generators via transference
• The functional calculus for sectorial operators
• A Besov class functional calculus for bounded holomorphic semigroups
• The H∞-Functional Calculus and Square Function Estimates
• $\gamma $-boundedness of $C_0$-semigroups and their $H^{\infty }$-functional calculi
• Classical Fourier Analysis
• Lp Estimates for Convolution Operators Defined by Compactly Supported Distributions in Rn.
• Analysis in Banach Spaces
• H^p multipliers and inequalities of Hardy and Littlewood
• Some Results Concerning Multipliers of H ^p
• Similarity problems and completely bounded maps. Includes the solution to ``The Halmos problem.