A Besov algebra calculus for generators of operator semigroups and related norm-estimates
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Publication:2225603
DOI10.1007/s00208-019-01924-2zbMath1492.47024arXiv1810.11799OpenAlexW2987074614WikidataQ126812711 ScholiaQ126812711MaRDI QIDQ2225603
Charles J. K. Batty, Yu. V. Tomilov, Alexander Gomilko
Publication date: 8 February 2021
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.11799
Functional calculus for linear operators (47A60) Groups and semigroups of linear operators (47D03) Banach spaces of continuous, differentiable or analytic functions (46E15) Besov spaces and (Q_p)-spaces (30H25) Sectorial operators (47B12)
Related Items (9)
FUNCTIONAL CALCULI FOR SECTORIAL OPERATORS AND RELATED FUNCTION THEORY ⋮ Some developments around the Katznelson–Tzafriri theorem ⋮ A continuous-parameter Katznelson–Tzafriri theorem for algebras of analytic functions ⋮ Decay rate of \(\exp (A^{-1}t)A^{-1}\) on a Hilbert space and the Crank-Nicolson scheme with smooth initial data ⋮ Functional calculus for a bounded \(C_0\)-semigroup on Hilbert space ⋮ On some classes with norms of meromorphic function spaces defined by general spherical derivatives ⋮ The theory of Besov functional calculus: developments and applications to semigroups ⋮ The Cayley transform of the generator of a polynomially stable \(C_0\)-semigroup ⋮ Operator-valued \((L^p, L^q)\) Fourier multipliers and stability theory for evolution equations
Cites Work
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- A short counterexample to the inverse generator problem on non-Hilbertian reflexive \(L^p\)-spaces
- On measuring unboundedness of the \(H^\infty\)-calculus for generators of analytic semigroups
- Resolvent characterisation of generators of cosine functions and \(C_0\)-groups
- Toeplitz operators and \(\mathcal H_{\infty }\) calculus
- Functional calculus and dilation for \(C_{0}\)-groups of polynomial growth
- Resolvent representations for functions of sectorial operators
- Transference principles for semigroups and a theorem of Peller
- Composition operators on Besov algebras
- Theory of Besov spaces
- \(\gamma \)-bounded representations of amenable groups
- Characterizations of Besov-Hardy-Sobolev spaces via harmonic functions, temperatures, and related means
- Spectral and ergodic properties of the analytic generators
- Harmonic functions, Riesz potentials, and the Lipschitz spaces of Herz
- Conditions on the generator of a uniformly bounded \(C_0\)-semigroup
- Characteristic conditions of the generation of \(C_0\) semigroups in a Hilbert space
- Functional calculus under the Tadmor--Ritt condition, and free interpolation by polynomials of a given degree
- Decompositions of a Krein space in regular subspaces invariant under a uniformly bounded \(C_{0}\)-semigroup of bi-contractions
- Wavelets and Besov spaces
- Sharp commutator estimates via harmonic extensions
- The stability of rational approximations of analytic semigroups
- Growth estimates for \(\exp(A^{-1}t)\) on a Hilbert space
- Functional calculus for semigroup generators via transference
- Operators with smooth functional calculi
- The functional calculus for sectorial operators
- On the relation between stability of continuous- and discrete-time evolution equations via the Cayley transform
- Product formulas in functional calculi for sectorial operators
- On subordination of holomorphic semigroups
- Distributional boundary value theorems and Hilbert transforms
- \(H^p\) spaces of several variables
- A band limited and Besov class functional calculus for Tadmor--Ritt operators
- A Besov class functional calculus for bounded holomorphic semigroups
- Functional Calculus for C 0-semigroups Using Infinite-dimensional Systems Theory
- Paley-Littlewood decomposition for sectorial operators and interpolation spaces
- Inverses of Generators
- Fourier Analysis and Nonlinear Partial Differential Equations
- Vector-valued Laplace Transforms and Cauchy Problems
- Growth of semigroups in discrete and continuous time
- A Stability Result for Sectorial Operators in Banach Bpaces
- An Operational Calculus for Infinitesimal Generators of Semigroups
- Integrals of High-Pass Functions
- High-Accuracy Stable Difference Schemes for Well-Posed Initial-Value Problems
- On Rational Approximations of Semigroups
- One-Parameter Semigroups for Linear Evolution Equations
- ℛ-boundedness, Fourier multipliers and problems of elliptic and parabolic type
- Stability of C 0-semigroups and geometry of Banach spaces
- Inverses of semigroup generators: a survey and remarks
- Littlewood–Paley decompositions related to symmetric cones and Bergman projections in tube domains
- The Functional Calculus
- Modern Fourier Analysis
- A note on holomorphic functions and the Fourier-Laplace transform
- Inverses of generators of nonanalytic semigroups
- Functions of perturbed dissipative operators
- Inverse operator of the generator of aC0-semigroup
- A GENERAL FRAMEWORK FOR HOLOMORPHIC FUNCTIONAL CALCULI
- Cayley transform of the generator of a uniformly bounded C 0-semigroup of operators
- Functional calculus under Kreiss type conditions
- On the absolute integrability of Fourier transforms
- Abstract Ergodic Theorems and Weak Almost Periodic Functions
- Bernstein functions. Theory and applications
- Fractional powers of operators
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