56 citations · 75 across the 19 of their papers we have counts for
5 papers · 2 filters
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…
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…
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 , in terms of some modulus of continuity. For symbols whose image is contained in a polygon, we get…
Infinitesimal Carleson property for weighted measures induced by analytic self-maps of the unit disk
Daniel Li, Hervé Queffélec, Luis Rodriguez-Piazza
We prove that, for every , the pull-back measure of the measure , where is the normalized a…
Some new properties of composition operators associated with lens maps
Pascal Lefèvre, Daniel Li, Hervé Queffélec +1
We give examples of results on composition operators connected with lens maps. The first two concern the approximation numbers of those operators acting on the usual Hardy space $H…