The theory of Besov functional calculus: developments and applications to semigroups
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Publication:2039829
DOI10.1016/j.jfa.2021.109089zbMath1492.47025arXiv1910.06369OpenAlexW3159757084MaRDI QIDQ2039829
Charles J. K. Batty, Alexander Gomilko, Yu. V. Tomilov
Publication date: 5 July 2021
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.06369
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 (5)
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 ⋮ Functional calculus for a bounded \(C_0\)-semigroup on Hilbert space ⋮ Operator-valued \((L^p, L^q)\) Fourier multipliers and stability theory for evolution equations
Cites Work
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- The Rajchman algebra \(B_{0}(G)\) of a locally compact group \(G\)
- Transference principles for semigroups and a theorem of Peller
- Resolvent norm decay does not characterize norm continuity
- Operators \(L^{1}(\mathbb R_+) \to X\) and the norm continuity problem for semigroups
- On the type of spectral operators and the non-spectrality of several differential operators on \(L^ p\).
- A spectral mapping theorem for generating operators in second-order linear differential equations
- On the inverse Laplace transform for \(C_0\)-semigroups in UMD-spaces
- On the characterization of eventually norm continuous semigroups in Hilbert spaces
- Seventy years of Rajchman measures
- 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 semi-simplicity manifold on arbitrary Banach spaces
- The asymptotic behaviour of semigroups of linear operators
- A Besov algebra calculus for generators of operator semigroups and related norm-estimates
- On the subspace of \(L^ p\) invariant under multiplication of transform by bounded continuous functions
- The functional calculus for sectorial operators
- \(H^p\) spaces of several variables
- A Besov class functional calculus for bounded holomorphic semigroups
- Subordinated discrete semigroups of operators
- Vector-valued Laplace Transforms and Cauchy Problems
- THE COMPLEX INVERSION FORMULA REVISITED
- Characteristic Conditions for a c 0 -Semigroup with Continuity in the Uniform Operator Topology for t > 0 in Hilbert Space
- One-Parameter Semigroups for Linear Evolution Equations
- Inverses of semigroup generators: a survey and remarks
- On the Inversion of the Laplace Transform of $C_0 $ Semigroups and Its Applications
- Inverses of generators of nonanalytic semigroups
- Mean Convergence of Expansions in Laguerre and Hermite Series
- On the characterization of scalar type spectral operators
- An Introduction to the Theory of Centralizers
- The Semi-Simplicity Manifold of Arbitrary Operators
- FUNCTIONAL CALCULI FOR SECTORIAL OPERATORS AND RELATED FUNCTION THEORY
- Similarity problems and completely bounded maps. Includes the solution to ``The Halmos problem.
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