Muchenhoupt-Wheeden定理在广义加权（中心）Morrey空间上的推广
An extension of Muchenhoupt-Wheeden theorem to generalized weighted (central) Morrey spaces
摘要：
本文在广义加权Morrey空间${\mathcal M}_{p,ω}({\mathbb R}^n,v)$和广义加权中心Morrey空间$\dot{\mathcal M}_{p,ω}({\mathbb R}^n,v)$中，当$v$属于Muckenhoupt $A_{\infty}$ -类时，得到了函数$ω$和权$v$的里斯位势与分式极大函数的范数等价的条件.
英文摘要：
In this paper we find the condition on function $ω$ and weight $v$ which ensures the equivalency of norms of the Riesz potential and the fractional maximal function in generalized weighted Morrey spaces ${\mathcal M}_{p,ω}({\mathbb R}^n,v)$ and generalized weighted central Morrey spaces $\dot{\mathcal M}_{p,ω}({\mathbb R}^n,v)$, when $v$ belongs to Muckenhoupt $A_{\infty}$-class.
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