Approximation numbers of composition operators on H p

Daniel Li; Hervé Queffélec; Luis Rodríguez-Piazza

Concrete Operators (2015)

  • Volume: 2, Issue: 1, page 98-109, electronic only
  • ISSN: 2299-3282

Abstract

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give estimates for the approximation numbers of composition operators on the Hp spaces, 1 ≤ p < ∞

How to cite

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Daniel Li, Hervé Queffélec, and Luis Rodríguez-Piazza. " Approximation numbers of composition operators on H p ." Concrete Operators 2.1 (2015): 98-109, electronic only. <http://eudml.org/doc/270832>.

@article{DanielLi2015,
abstract = {give estimates for the approximation numbers of composition operators on the Hp spaces, 1 ≤ p < ∞},
author = {Daniel Li, Hervé Queffélec, Luis Rodríguez-Piazza},
journal = {Concrete Operators},
keywords = {approximation numbers; Blaschke product; composition operator; Hardy space; interpolation sequence},
language = {eng},
number = {1},
pages = {98-109, electronic only},
title = { Approximation numbers of composition operators on H p },
url = {http://eudml.org/doc/270832},
volume = {2},
year = {2015},
}

TY - JOUR
AU - Daniel Li
AU - Hervé Queffélec
AU - Luis Rodríguez-Piazza
TI - Approximation numbers of composition operators on H p
JO - Concrete Operators
PY - 2015
VL - 2
IS - 1
SP - 98
EP - 109, electronic only
AB - give estimates for the approximation numbers of composition operators on the Hp spaces, 1 ≤ p < ∞
LA - eng
KW - approximation numbers; Blaschke product; composition operator; Hardy space; interpolation sequence
UR - http://eudml.org/doc/270832
ER -

References

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  4. [4] P. L. Duren, Theory of Hp Spaces, Dover Public. (2000). 
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  9. [9] D. Li and H. Queffélec, Introduction à l’étude des espaces de Banach. Analyse et probabilités, Cours Spécialisés 12, Société Mathématique de France, Paris (2004). 
  10. [10] D. Li, H. Queffélec, L. Rodríguez-Piazza, On approximation numbers of composition operators, J. Approx. Theory 164 (4) (2012), 431–459. Zbl1246.47007
  11. [11] D. Li, H. Queffélec, L. Rodríguez-Piazza, Estimates for approximation numbers of some classes of composition operators on the Hardy space, Ann. Acad. Sci. Fenn. Math. 38 (2013), 547–564. Zbl1295.47011
  12. [12] D. Li, H. Queffélec, L. Rodríguez-Piazza, A spectral radius type formula for approximation numbers of composition operators, J. Funct. Anal., 267 (2014), no. 12, 4753–4774. Zbl1325.47045
  13. [13] R. Mortini, Thin interpolating sequences in the disk, Arch. Math. 92, no. 5 (2009), 504–518. Zbl1179.30058
  14. [14] N. Nikol’skiˇı, A treatise on the Shift Operator, Grundlehren der Math. 273, Springer-Verlag (1986). 
  15. [15] S. Petermichl, S. Treil, B.D. Wick, Carleson potentials and the reproducing kernel thesis for embedding theorems, Illinois J. Math. 51, no. 4 (2007), 1249–1263. Zbl1152.30036
  16. [16] A. Pietsch, s-numbers of operators in Banach spaces, Studia Math. LI (1974), 201–223. Zbl0294.47018
  17. [17] A. Plichko, Rate of decay of the Bernstein numbers, Zh. Mat. Fiz. Anal. Geom. 9, no. 1 (2013), 59–72. Zbl1294.47030
  18. [18] H. Queffélec, K. Seip, Decay rates for approximation numbers of composition operators, J. Anal. Math., 125 (2015), no. 1, 371–399. Zbl1316.47022

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