摘要
In this paper the authors study proprieties of certain convolution operators on L (G) and weighted BMO(a)(G) spaces,where G is a locally compact totally disconnected group with a suitable sequence of open compact subgroups. The authors prove that if the kernel satisfies certain conditions, then the convolution operator is bounded from L to BMO(a) or from BMO(a) to BMO().
本文主要讨论了定义在局部紧的全不连通群Ｇ上的一类卷积算子在加权Ｌ（Ｇ）和ＢＭＯ（ａ）空间的性态．证明了如果卷积算子的核满足适当的条件，则算子是Ｌ（Ｇ）到ＢＭＯ（ａ）有界的或是ＢＭＯ（ａ）到ＢＭＯ（ａ）有界的．
