Frédéric Bayart

30
Documents

Publications

Publications

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Hereditarily frequently hypercyclic operators and disjoint frequent hypercyclicity

Frédéric Bayart , Sophie Grivaux , Étienne Matheron , Quentin Menet
Ergodic Theory and Dynamical Systems, In press, 45 (10), pp.3021-3072. ⟨10.1017/etds.2025.13⟩
Article dans une revue hal-04696264 v1
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Cyclicity of composition operators on the Fock space

Frédéric Bayart , Sebastián Tapia-García
Journal of Operator Theory, In press
Article dans une revue hal-03673265 v1
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Composition operators on the Hardy space of the tridisc

Frédéric Bayart
Indiana University Mathematics Journal, In press
Article dans une revue hal-04322626 v1
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Topological structure of the space of composition operators on the Hardy space of Dirichlet series

Frédéric Bayart , Maofa Wang , Xingxing Yao
Journal of Functional Analysis, 2025, 289 (11), pp.111134. ⟨10.1016/j.jfa.2025.111134⟩
Article dans une revue hal-03349090 v1
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Counting functions for Dirichlet series and compactness of composition operators

Frédéric Bayart
Bulletin of the London Mathematical Society, 2024, 56 (1), pp.188-197. ⟨10.1112/blms.12923⟩
Article dans une revue hal-03471965 v1
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Essential norms of composition operators and multipliers acting between different Hardy spaces

Frédéric Bayart
Annales Fennici Mathematici, 2024, 49 (2), ⟨10.54330/afm.152664⟩
Article dans une revue hal-04130738 v1
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Schatten class composition operators on the Hardy space of Dirichlet series and a comparison-type principle

Frédéric Bayart , Athanasios Kouroupis
Revista Matemática Iberoamericana, 2024, 40 (5), pp.1863-1886. ⟨10.4171/RMI/1474⟩
Article dans une revue hal-04903852 v1
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ε-hypercyclic operators that are not δ-hypercyclic for δ < ε

Frédéric Bayart
Journal of Mathematical Analysis and Applications, 2024, 529 (2), pp.127278. ⟨10.1016/j.jmaa.2023.127278⟩
Article dans une revue hal-04048244 v1
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Disjoint frequent hypercyclicity of composition operators

Frédéric Bayart
Advances in Mathematics, 2023, 418, pp.108945. ⟨10.1016/j.aim.2023.108945⟩
Article dans une revue hal-03867133 v1
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Universality of general Dirichlet series with respect to translations and rearrangements

Frédéric Bayart
Arkiv för Matematik, 2023, 61 (1), pp.19-39. ⟨10.4310/ARKIV.2023.v61.n1.a2⟩
Article dans une revue hal-03665195 v1
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Convergence and almost sure properties in Hardy spaces of Dirichlet series

Frédéric Bayart
Mathematische Annalen, 2022, 382, pp.1485-1515. ⟨10.1007/s00208-021-02239-x⟩
Article dans une revue hal-03103584 v1
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Disjoint and common hypercyclic algebras

Frédéric Bayart , Fernando Costa , Dimitris Papathanasiou
Israel Journal of Mathematics, 2022, 250 (1), pp.211-264. ⟨10.1007/s11856-022-2337-z⟩
Article dans une revue hal-03903487 v1

Summability of the coefficients of a multilinear form

Frédéric Bayart
Journal of the European Mathematical Society, 2022, 24 (4), pp.1161-1188. ⟨10.4171/JEMS/1109⟩
Article dans une revue hal-03630993 v1
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Common hypercyclic vectors and dimension of the parameter set

Frédéric Bayart , Fernando Costa , Quentin Menet
Indiana University Mathematics Journal, 2022, 71 (4), pp.1763-1795
Article dans une revue hal-03177849 v1
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Composition operators on spaces of double Dirichlet series

Frédéric Bayart , Jaime Castillo-Medina , Domingo García , Manuel Maestre , Pablo Sevilla-Peris
Revista Matematica Complutense, 2021, 34 (1), pp.215-237. ⟨10.1007/s13163-019-00345-8⟩
Article dans une revue hal-03158958 v1

Linear combinations of composition operators with linear symbols on a Hilbert space of Dirichlet series

Frédéric Bayart , Maofa Wang , Xingxing Yao
Journal of Operator Theory, 2021, 86 (1), pp.231-251. ⟨10.7900/jot.2020mar23.2288⟩
Article dans une revue hal-03349072 v1
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Two problems on weighted shifts in linear dynamics

Frédéric Bayart
Proceedings of the American Mathematical Society, 2021, 149 (12), pp.5255-5266. ⟨10.1090/PROC/15597⟩
Article dans une revue hal-03103403 v1
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Baire theorem and hypercyclic algebras

Frédéric Bayart , Fernando Costa Júnior , Dimitris Papathanasiou
Advances in Mathematics, 2021, 376, pp.107419. ⟨10.1016/j.aim.2020.107419⟩
Article dans une revue hal-02308466 v2
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Fast and slow points of Birkhoff sums

Frédéric Bayart , Zoltan Buczolich , Yanick Heurteaux
Ergodic Theory and Dynamical Systems, 2020, 40 (12), pp.3236 - 3256. ⟨10.1017/etds.2019.45⟩
Article dans une revue hal-01975709 v1

On coincidence results for summing multilinear operators: interpolation, $\ell _1$-spaces and cotype

Frédéric Bayart , Daniel Pellegrino , Pilar Rueda
Collectanea Mathematica, 2020, 71 (2), pp.301-318. ⟨10.1007/s13348-019-00261-6⟩
Article dans une revue hal-03034860 v1
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Composition operators and embedding theorems for some function spaces of Dirichlet series

Frédéric Bayart , Ole Fredrik Brevig
Mathematische Zeitschrift, 2019, 293 (3-4), pp.989-1014. ⟨10.1007/s00209-018-2215-x⟩
Article dans une revue hal-04605902 v1

Interpolation of Hardy spaces of Dirichlet series

Frédéric Bayart , Mieczysław Mastyło
Journal of Functional Analysis, 2019, 277 (3), pp.786-805. ⟨10.1016/j.jfa.2019.03.016⟩
Article dans une revue hal-04903763 v1
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Contractive inequalities for Bergman spaces and multiplicative Hankel forms

Frédéric Bayart , Ole Fredrik Brevig , Antti Haimi , Joaquim Ortega-Cerdà , Karl-Mikael Perfekt
Transactions of the American Mathematical Society, 2018, 371 (1), pp.681-707. ⟨10.1090/tran/7290⟩
Article dans une revue hal-04605899 v1

Topological transitivity and mixing of composition operators

Frédéric Bayart , Udayan Darji , Benito Pires
Journal of Mathematical Analysis and Applications, 2018, 465 (1), pp.125-139. ⟨10.1016/j.jmaa.2018.04.063⟩
Article dans une revue hal-04605896 v1
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Approximation numbers of composition operators on the Hardy and Bergman spaces of the ball and of the polydisk

Frédéric Bayart , Daniel Li , Hervé Queffélec , Luis Rodríguez-Piazza
Mathematical Proceedings of the Cambridge Philosophical Society, 2017, 165 (1), pp.69 - 91. ⟨10.1017/s0305004117000263⟩
Article dans une revue hal-04605895 v1
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Compact composition operators with nonlinear symbols on the H2 space of Dirichlet series

Frédéric Bayart , Ole Brevig
Pacific Journal of Mathematics, 2017, 291 (1), pp.81 - 120. ⟨10.2140/pjm.2017.291.81⟩
Article dans une revue hal-04605897 v1