论文标题
同质类型空间上加权莫雷空间上的换向器的注释
A note on commutators on weighted Morrey spaces on spaces of homogeneous type
论文作者
论文摘要
在本文中，我们研究了Coifman and Weiss的意义上，研究Calderón-Zygmund运营商$ t $calderón-Zygmund操作员$ t $的界限和紧凑性特征。更确切地说，我们表明换向器$ [B，T] $在加权的Morrey空间上$l_Ω^{p，κ}（x）$（$κ\ in（0,1），（0,1），ω\ in a_ {p}（p}（x）（x），1 <p <\ infty $），并且仅在$ b $ in the the BMO中。此外，换向器$ [b，t] $在加权的莫雷空间上是紧凑的$l_Ω^{p，κ}（x）$（$κ\ in（0,1），ω\ in a_ {p}（x）（x），1 <p <\ infty $，如果$ b $在vmo space中。
In this paper we study the boundedness and compactness characterizations of the commutator of Calderón-Zygmund operators $T$ on spaces of homogeneous type $(X,d,μ)$ in the sense of Coifman and Weiss. More precisely, We show that the commutator $[b, T]$ is bounded on weighted Morrey space $L_ω^{p,κ}(X)$ ($κ\in(0,1), ω\in A_{p}(X), 1<p<\infty$) if and only if $b$ is in the BMO space. Moreover, the commutator $[b, T]$ is compact on weighted Morrey space $L_ω^{p,κ}(X)$ ($κ\in(0,1), ω\in A_{p}(X), 1<p<\infty$) if and only if $b$ is in the VMO space.
