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- Centre National de la Recherche ScientifiqueFR398 papers
- Laboratoire de Mathématiques Nicolas OresmeFR124 papers
- Laboratoire d’Analyse et de Mathématiques AppliquéesFR122 papers
- Université Savoie Mont BlancFR113 papers
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- Université Blaise PascalFR96 papers
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- Laboratoire de Mathématiques de VersaillesFR76 papers
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- Université Paris CitéFR53 papers
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5 papers · 2 filters
Optimal Hardy-Littlewood type inequalities for polynomials and multilinear operators
Nacib Albuquerque, Frédéric Bayart, Daniel Pellegrino +1
In this paper we obtain quite general and definitive forms for Hardy-Littlewood type inequalities. Moreover, when restricted to the original particular cases, our approach provides…
The Bohr radius of the -dimensional polydisk is equivalent to
F. Bayart, D. Pellegrino, J. Seoane-Sepulveda
We show that the Bohr radius of the polydisk behaves asymptotically as . Our argument is based on a new interpolative approach to the Bohnenblust--…
Sharp generalizations of the multilinear Bohnenblust--Hille inequality
N. Albuquerque, F. Bayart, D. Pellegrino +1
We prove that the multilinear Bohnenblust--Hille is a particular case of a quite general family of optimal inequalities.
Difference sets and frequently hypercyclic weighted shifts
Frédéric Bayart, Imre Ruzsa
We solve several problems on frequently hypercyclic operators. Firstly, we characterize frequently hypercyclic weighted shifts on , . Our method uses pr…
Hypercyclic operators and rotated orbits with polynomial phases
Frédéric Bayart, George Costakis
An important result of León-Saavedra and Müller says that the rotations of hypercyclic operators remain hypercyclic. We provide extensions of this result for orbits of operators wh…