标题： Hankel 算子在全纯 Hardy-Orlicz 空间上 显示英文标题

标题： Hankel operators on holomorphic Hardy-Orlicz spaces

摘要： 我们表征了Hankel算子的符号，这些符号可以扩展为从Hardy-Orlicz$H^{\Phi_1} (\mathbb B^n)$到$H^{\Phi_2} (\mathbb B^n)$的有界算子，在Cn单位球中，当增长函数$?\Phi_1$和$\Phi_2$为凹或凸的情况下。 当增长函数均为凹时，已由Bonami和Sehba进行了研究。 我们还根据具有凸增长函数的Hardy-Orlicz函数的乘积，获得了$H^\Phi(\mathbb B^n)$中具有凹增长函数的函数的几个弱分解定理。 显示英文摘要

摘要： We characterize the symbols of Hankel operators that ex- tend into bounded operators from the Hardy-Orlicz $H^{\Phi_1} (\mathbb B^n)$ into $H^{\Phi_2} (\mathbb B^n)$ in the unit ball of Cn, in the case where the growth functions $?\Phi_1$ and $\Phi_2$ 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 $H^\Phi(\mathbb B^n)$, with concave growth function, in terms of products of Hardy-Orlicz functions with convex growth functions.