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arXiv · 0902.2138

Hankel Operators and Weak Factorization for Hardy-Orlicz Spaces

Aline Bonami·Sandrine Grellier
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Abstract

We study the holomorphic Hardy-Orlicz spaces H^Φ(Ω), where Ωis the unit ball or, more generally, a convex domain of finite type or a strictly pseudoconvex domain in Cn . The function Φis in particular such that H ^1(Ω) \subset H^Φ(Ω) \subset H ^p (Ω) for some p > 0. We develop for them maximal characterizations, atomic and molecular decompositions. We then prove weak factorization theorems involving the space BMOA(Omega). As a consequence, we characterize those Hankel operators which are bounded from H ^Φ(Ω) into H^1 (Ω).

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Aline Bonami, Sandrine Grellier. 2009-02-12. Hankel Operators and Weak Factorization for Hardy-Orlicz Spaces. https://arxiv.org/abs/0902.2138

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