论文标题
全球斯坦（Stein）定理在强壮的空间
Global Stein Theorem on Hardy spaces
论文作者
论文摘要
令F为R n上具有积分0的可集成函数。 | F |最大的条件是什么这可以保证f在强大的空间中H 1（r n）？当F紧凑地支持F时，众所周知，| F |是必要和足够的属于l log l（r n）。我们在这里在$ \ infty $的条件下感兴趣。对于H 1（r n），以及对H 1（r n）及其双重BMO功能的点产物的研究，我们这样做。
Let f be an integrable function which has integral 0 on R n. What is the largest condition on |f | that guarantees that f is in the Hardy space H 1 (R n)? When f is compactly supported, it is well-known that it is necessary and sufficient that |f | belongs to L log L(R n). We are interested here in conditions at $\infty$. We do so for H 1 (R n), as well as for the Hardy space H log (R n) which appears in the study of pointwise products of functions in H 1 (R n) and in its dual BMO.
