Herz型空间的禁止类双线性拟微分算子

摘要

In this paper, using the powerful decomposition techniques related to Littlewood–Paley theory and time–frequency analysis, we prove that the bilinear pseudodifferential operators with forbidden symbols are bounded on prod-ucts of Herz type Sobolev spaces and Herz type Besov spaces.%利用Littlewood–Paley分解理论与时频分析方法证明了禁止类双线性拟微分算子在乘积型的Herz型索伯列夫空间与Herz型Besov空间上有界。