Boundedness of Hankel operators on H1(Bn)

Sandrine Grellier (1) , B. Sehba (2) , Aline Bonami (1)

1 MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans
2 Department of Mathematics [Glasgow]

We prove that the Hankel operator Hb associated to the Szegö projection on the unit ball Bn is bounded on the Hardy space H1(Bn) if and only if its symbol b has logarithmic mean oscillation on the unit sphere.

Domaines: Variables complexes [math.CV]

Sandrine Grellier, B. Sehba, Aline Bonami. Boundedness of Hankel operators on H1(Bn). Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2007, 344, pp.749-752. ⟨hal-00460906⟩