London Mathematical Laboratory

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20092026

most citedUsing Machine Learning to Replicate Chaotic Attractors and Calculate Lyapunov Exponents from Data

633 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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21 papers · 1 filter

math.FA2024

Eventual Ideal Properties of the Riemann-Liouville Analytic Semigroup

Ihab Alam, Isabelle Chalendar, Fida El Chami +2

In this paper, we revisit the Riemann--Liouville analytic semigroup. In particular, we completely characterize the membership to the Schatten class $S^{r}$ on $L^{2} (0, 1)$ , as well as…

math.FA2023

On some questions about composition operators on weighted Hardy spaces

Pascal Lefèvre, Daniel Li, Hervé Queffélec +1

We first consider some questions raised by N. Zorboska in her thesis. In particular she asked for which sequences $β$ every symbol $φ : D \to D$ with $φ\in H^…

math.FA2020★ 4 cited

Boundedness of composition operators on general weighted Hardy spaces of analytic functions

Pascal Lefèvre, Daniel Li, Hervé Queffélec +1

We characterize the (essentially) decreasing sequences of positive numbers $β$ = ( $β$ n) for which all composition operators on H 2 ( $β$ ) are bounded, where H 2 ( $β$ ) is the space…

math.FA2020

Comparison of singular numbers of composition operators on different Hilbert spaces of analytic functions

Hervé Queffélec, Pascal Lefèvre, Daniel Li +1

We compare the rate of decay of singular numbers of a given composition operator acting on various Hilbert spaces of analytic functions on the unit disk $\D$. We show that for the…

math.FA2019

An extremal composition operator on the Hardy space of the bidisk with small approximation numbers

Daniel Li, Hervé Queffélec, Luis Rodríguez-Piazza

We construct an analytic self-map $Φ$ of the bidisk $D^{2}$ whose image touches the distinguished boundary, but whose approximation numbers of the associated composition op…

math.FA2018

Entropy numbers and spectral radius type formula for composition operators on the polydisk

Daniel Li, Hervé Queffélec, Luis Rodríguez-Piazza

We give estimates of the entropy numbers of composition operators on the Hardy space of the disk and of the polydisk.

math.FA2018★ 2 cited

Composition operators with surjective symbol and small approximation numbers

Daniel Li, Hervé Queffélec, Luis Rodríguez-Piazza

We give a new proof of the existence of a surjective symbol whose associated composition operator on H 2 (D) is in all Schatten classes, with the improvement that its approximation…

math.FA2018

Pluricapacity and approximation numbers of composition operators

Daniel Li, Hervé Queffélec, Luis Rodríguez-Piazza +1

For suitable bounded hyperconvex sets $Ω$ in $C^{N}$ , in particular the ball or the polydisk, we give estimates for the approximation numbers of composition operators $C_ϕ\c…

math.FA2016

Absolutely summing Carleson embeddings on Hardy spaces

Pascal Lefèvre, Luis Rodríguez-Piazza

We consider the Carleson embeddings of the classical Hardy spaces (on the disk) into a L p ( $μ$ ) space, where $μ$ is a Carleson measure on the unit disk. This includes the case of…

math.FA2015

Approximation numbers of composition operators on the Hardy space of the ball and of the polydisk

Daniel Li, Hervé Queffélec, Luis Rodríguez-Piazza

We give general estimates for the approximation numbers of composition operators on the Hardy space on the ball $B_d$ and the polydisk $D^{d}$ .

math.FA2015

Approximation numbers of composition operators on Hp

Daniel Li, Hervé Queffélec, Luis Rodríguez-Piazza

We give estimates for the approximation numbers of composition operators on the Hp spaces, 1 $\leq$ p \textless{} $\infty$ .

math.FA2014

A spectral radius type formula for approximation numbers of composition operators

Daniel Li, Hervé Queffélec, Luis Rodriguez-Piazza

For approximation numbers $a_{n} (C_{ϕ})$ of composition operators $C_{ϕ}$ on weighted analytic Hilbert spaces, including the Hardy, Bergman and Dirichlet cases, with symbol $ϕ$ of unifo…

math.FA2014

Two remarks on composition operators on the Dirichlet space

Daniel Li, Hervé Queffélec, Luis Rodriguez-Piazza

We show that the decay of approximation numbers of compact composition operators on the Dirichlet space $D$ can be as slow as we wish, which was left open in the cited wo…

math.FA2012

Approximation numbers of composition operators on the Dirichlet space

Pascal Lefèvre, Daniel Li, Luis Rodriguez-Piazza +1

We study the decay of approximation numbers of compact composition operators on the Dirichlet space. We give upper and lower bounds for these numbers. In particular, we improve on…

math.FA2012

Compact composition operators on the Dirichlet space and capacity of sets of contact points

Pascal Lefèvre, Daniel Li, Hervé Queffélec +1

In this paper, we prove that for every compact set of the unit disk of logarithmic capacity 0, there exists a Schur function both in the disk algebra and in the Dirichlet space suc…

math.FA2012

Estimates for approximation numbers of some classes of composition operators on the Hardy space

Daniel Li, Hervé Queffélec, Luis Rodriguez-Piazza

We give estimates for the approximation numbers of composition operators on $H^{2}$ , in terms of some modulus of continuity. For symbols whose image is contained in a polygon, we get…

math.FA2011

On approximation numbers of composition operators

Daniel Li, Hervé Queffélec, Luis Rodriguez-Piazza

We show that the approximation numbers of a compact composition operator on the weighted Bergman spaces $B_{α}$ of the unit disk can tend to 0 arbitrarily slowly, but that…

math.FA2010★ 1 cited

The canonical injection of the Hardy-Orlicz space $H^{Ψ}$ into the Bergman-Orlicz space $B^{Ψ}$

Pascal Lefèvre, Daniel Li, Hervé Queffélec +1

We study the canonical injection from the Hardy-Orlicz space $H^{Ψ}$ into the Bergman-Orlicz space $B^{Ψ}$ .

math.FA2009

Weak compactness and Orlicz spaces

Pascal Lefèvre, Daniel Li, Hervé Queffélec +1

We give new proofs that some Banach spaces have Pełczyński's property $(V)$ .

math.FA2009★ 8 cited

Composition operators on the Wiener-Dirichlet algebra

Frédéric Bayart, Catherine Finet, Daniel Li +1

We study the composition operators on an algebra of Dirichlet series, the analogue of the Wiener algebra of absolutely convergent Taylor series, which we call the Wiener-Dirichlet…

math.FA2009

On some random thin sets of integers

Daniel Li, Hervé Queffélec, Luis Rodriguez-Piazza

We show how different random thin sets of integers may have different behaviour. First, using a recent deviation inequality of Boucheron, Lugosi and Massart, we give a simpler proo…

Eventual Ideal Properties of the Riemann-Liouville Analytic Semigroup

On some questions about composition operators on weighted Hardy spaces

Boundedness of composition operators on general weighted Hardy spaces of analytic functions

Comparison of singular numbers of composition operators on different Hilbert spaces of analytic functions

An extremal composition operator on the Hardy space of the bidisk with small approximation numbers

Entropy numbers and spectral radius type formula for composition operators on the polydisk

Composition operators with surjective symbol and small approximation numbers

Pluricapacity and approximation numbers of composition operators

Absolutely summing Carleson embeddings on Hardy spaces

Approximation numbers of composition operators on the Hardy space of the ball and of the polydisk

Approximation numbers of composition operators on Hp

A spectral radius type formula for approximation numbers of composition operators

Two remarks on composition operators on the Dirichlet space

Approximation numbers of composition operators on the Dirichlet space

Compact composition operators on the Dirichlet space and capacity of sets of contact points

Estimates for approximation numbers of some classes of composition operators on the Hardy space

On approximation numbers of composition operators

The canonical injection of the Hardy-Orlicz space HΨ into the Bergman-Orlicz space BΨ

Weak compactness and Orlicz spaces

Composition operators on the Wiener-Dirichlet algebra

On some random thin sets of integers

The canonical injection of the Hardy-Orlicz space $H^{Ψ}$ into the Bergman-Orlicz space $B^{Ψ}$