Duality for large Bergman-Orlicz spaces and Hankel operators between Bergman-Orlicz spaces on the unit ball

Abstract

For , the unit ball of , we consider Bergman–Orlicz spaces of holomorphic functions in , which are generalizations of classical Bergman spaces. We characterize the dual space of large Bergman–Orlicz space, and bounded Hankel operators between some Bergman–Orlicz spaces and , where and are either convex or concave growth functions.

Keywords:

• Hankel operator
• Bergman–Orlicz spaces
• atomic decomposition
• weak factorization

AMS Subject Classifications:

• 47B35
• 32A35
• 32A37

Acknowledgements

The second author would like to acknowledge the support of the International Centre for Theoretical Physics (ICTP), Trieste (Italy).

Notes

No potential conflict of interest was reported by the authors.