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

Benoît F. Sehba; Edgar L. Tchoundja

doi:10.1080/17476933.2016.1278435

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

Benoît F. Sehba, Edgar L. Tchoundja

Department of Mathematics

University of Yaoundé 1

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

For Bⁿ, the unit ball of Cⁿ, we consider Bergman–Orlicz spaces of holomorphic functions in L, 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 A_α _{ᶲ 1} (B_n) and A_α _{ᶲ 2} (B_n), where ᶲ₁ and ᶲ₂ are either convex or concave growth functions.

Original language	English
Pages (from-to)	1619-1644
Number of pages	26
Journal	Complex Variables and Elliptic Equations
Volume	62
Issue number	11
DOIs	https://doi.org/10.1080/17476933.2016.1278435
Publication status	Published - 2 Nov 2017

Keywords

Bergman–Orlicz spaces
Hankel operator
atomic decomposition
weak factorization

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10.1080/17476933.2016.1278435

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AB - For Bn, the unit ball of Cn, we consider Bergman–Orlicz spaces of holomorphic functions in L, 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 Aα ᶲ 1 (Bn) and Aα ᶲ 2 (Bn), where ᶲ1 and ᶲ2 are either convex or concave growth functions.

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KW - weak factorization

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

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