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papers

Publications (24)

math.FA2014

A spectral radius type formula for approximation numbers of composition operators

Daniel Li, HervÃ© QueffÃ©lec, Luis Rodriguez-Piazza

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

math.FA2009

Some new thin sets of integers in Harmonic Analysis

Daniel Li, HervÃ© QueffÃ©lec, Luis Rodriguez-Piazza

We randomly construct various subsets $I^$ of the integers which have both smallness and largeness properties. They are small since they are very close, in various meanings, to Sid…

math.FA2010

Compact composition operators on Bergman-Orlicz spaces

Pascal LefÃ¨vre, Daniel Li, HervÃ© QueffÃ©lec +1

We construct an analytic self-map $I ¨ $ of the unit disk and an Orlicz function $I^¨$ for which the composition operator of symbol $I ¨ $ is compact on the Hardy-Orlicz space $H^{I^} ¨$ , b…

math.FA2011

On approximation numbers of composition operators

Daniel Li, HervÃ© QueffÃ©lec, Luis Rodriguez-Piazza

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

math.FA2009

Thin sets of integers in Harmonic analysis and p-stable random Fourier series

We investigate the behavior of some thin sets of integers defined through random trigonometric polynomial when one replaces Gaussian or Rademacher variables by p-stable ones, with…

math.FA2019

Compactification, and beyond, of composition operators on Hardy spaces by weights

We study when multiplication by a weight can turn a non-compact composition operator on H 2 into a compact operator, and when it can be in Schatten classes. The q-summing case in H…