FUNCTIONAL CALCULI FOR SECTORIAL OPERATORS AND RELATED FUNCTION THEORY

DOI10.1017/S1474748021000414MaRDI QIDQ5886990

Charles J. K. Batty, Yu. V. Tomilov, Alexander Gomilko

Publication date: 14 April 2023

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.05083

zbMATH Keywords

sectorial operatorHardy-Sobolev spacefunctional calculusbounded holomorphic semigroup

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Groups and semigroups of linear operators (47D03) Banach spaces of continuous, differentiable or analytic functions (46E15) Hardy spaces (30H10) Sectorial operators (47B12)

Related Items (1)

The theory of Besov functional calculus: developments and applications to semigroups

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
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On measuring unboundedness of the \(H^\infty\)-calculus for generators of analytic semigroups
• Bernstein functions and rates in mean ergodic theorems for operator semigroups
• Resolvent representations for functions of sectorial operators
• Transference principles for semigroups and a theorem of Peller
• \(H^{\infty}\) calculus for submarkovian semigroups on weighted \(L^2\) spaces
• Über das Spektrum positiver Generatoren
• The collected works of Arne Beurling. Volume 1: Complex analysis. Volume 2: Harmonic analysis. Ed. by Lennart Carleson, Paul Malliavin, John Neuberger, John Wermer
• Functional calculus for infinitesimal generators of holomorphic semigroups
• Integral representation of functions on sectors, functional calculus and norm estimates.
• On a problem raised by Gabriel and Beurling
• The theory of Besov functional calculus: developments and applications to semigroups
• A Besov algebra calculus for generators of operator semigroups and related norm-estimates
• Operator Lipschitz functions and model spaces
• The stability of rational approximations of analytic semigroups
• The functional calculus for sectorial operators
• One-parameter groups of regular quasimultipliers
• On subordination of holomorphic semigroups
• A Besov class functional calculus for bounded holomorphic semigroups
• Functional calculus for a bounded \(C_0\)-semigroup on Hilbert space
• Paley-Littlewood decomposition for sectorial operators and interpolation spaces
• Operator Lipschitz functions
• Vector-valued Laplace Transforms and Cauchy Problems
• A Stability Result for Sectorial Operators in Banach Bpaces
• On a Theorem of DJRBASHIAN of the PHRAGMEN-LINDELÖF Type
• H∞ Functional Calculus and Mikhlin-Type Multiplier Conditions
• Powers of Generators of Holomorphic Semigroups
• Radiale Darstellbarkeit im Dualraum vonHp(II+)
• Eine radiale Charakterisierung von Hp(II+)
• AN EQUIVALENT DEFINITION OF $ H^p$ SPACES IN THE HALF-PLANE AND SOME APPLICATIONS
• On Rational Approximations of Semigroups
• One-Parameter Semigroups for Linear Evolution Equations
• Analysis in Banach Spaces
• SPECTRAL MAPPING THEOREMS FOR HOLOMORPHIC FUNCTIONAL CALCULI
• Bernstein functions. Theory and applications

This page was built for publication: FUNCTIONAL CALCULI FOR SECTORIAL OPERATORS AND RELATED FUNCTION THEORY