A Besov class functional calculus for bounded holomorphic semigroups

DOI10.1016/j.jfa.2005.01.010zbMath1101.47026OpenAlexW2073985550MaRDI QIDQ2577500

Pascale Vitse

Publication date: 22 December 2005

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2005.01.010

zbMATH Keywords

functional calculussectorial operatorsBesov spaces in the half planebounded holomorphic semigroupsTadmor-Ritt operators

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Groups and semigroups of linear operators (47D03)

Related Items

Functional calculus estimates for Tadmor-Ritt operators, FUNCTIONAL CALCULI FOR SECTORIAL OPERATORS AND RELATED FUNCTION THEORY, On measuring unboundedness of the \(H^\infty\)-calculus for generators of analytic semigroups, Functional calculus for a bounded \(C_0\)-semigroup on Hilbert space, Transference principles for semigroups and a theorem of Peller, A Besov algebra calculus for generators of operator semigroups and related norm-estimates, The theory of Besov functional calculus: developments and applications to semigroups, Derivative bounded functional calculus of power bounded operators on Banach spaces

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Functional calculus under the Tadmor--Ritt condition, and free interpolation by polynomials of a given degree
• The Riesz turndown collar theorem giving an asymptotic estimate of the powers of an operator under the Ritt condition
• A band limited and Besov class functional calculus for Tadmor--Ritt operators
• Properties of multipliers of Cauchy-Stieltjes integrals and some factorization problems for analytic functions
• A resolvent condition implying power boundedness
• Spectral localization, power boundedness and invariant subspaces under Ritt's type condition
• Resolvent Tests for Similarity to a Normal Operator
• About the sharpness of the stability estimates in the Kreiss matrix theorem
• Approximation of Continuous Functions by Integral Functions of Finite Order
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