Hankel Operators on Holomorphic Hardy-Orlicz Spaces

Benoît F. Sehba, Edgar Tchoundja

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)

Abstract

We characterize the symbols of Hankel operators that extend into bounded operators from the Hardy-Orlicz H Φ1 (B n) into H Φ2 (B n) in the unit ball of ℂ, in the case where the growth functions Φ 1 and Φ 2 are either concave or convex. The case where the growth functions are both concave has been studied by Bonami and Sehba. We also obtain several weak factorization theorems for functions in H Φ(B n), with concave growth function, in terms of products of Hardy-Orlicz functions with convex growth functions.

Original languageEnglish
Pages (from-to)331-349
Number of pages19
JournalIntegral Equations and Operator Theory
Volume73
Issue number3
DOIs
Publication statusPublished - Jul 2012
Externally publishedYes

Keywords

  • Hankel operators
  • Hardy-Orlicz spaces
  • Weighted BMOA spaces
  • weak factorization

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