Frédéric Bayart

31
Documents

Publications

Publications

Deposit thumbnail

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-04696264v1
Deposit thumbnail

Composition operators on the Hardy space of the tridisc

Frédéric Bayart

Indiana University Mathematics Journal, In press

Article dans une revue hal-04322626v1
Deposit thumbnail

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-03349090v1
Deposit thumbnail

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-03471965v1
Deposit thumbnail

Cyclicity of composition operators on the Fock space

Frédéric Bayart , Sebastián Tapia-García

Journal of Operator Theory, 2024, 92 (2), pp.549-577. ⟨10.7900/jot.2022nov10.2419⟩

Article dans une revue hal-03673265v1
Deposit thumbnail

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-04130738v1
Deposit thumbnail

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-04903852v1
Deposit thumbnail

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-04048244v1
Deposit thumbnail

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-03665195v1
Deposit thumbnail

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-03867133v1
Deposit thumbnail

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-03103584v1
Deposit thumbnail

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-03903487v1

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-03630993v1
Deposit thumbnail

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-03177849v1

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-03349072v1
Deposit thumbnail

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-03158958v1
Deposit thumbnail

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-03103403v1
Deposit thumbnail

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-02308466v2
Deposit thumbnail

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-01975709v1

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-03034860v1
Deposit thumbnail

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-04605902v1

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-04903763v1
Deposit thumbnail

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-04605899v1

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-04605896v1
Deposit thumbnail

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-04605895v1
Deposit thumbnail

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-04605897v1