vanishing

We obtain some equivelent conditions of when a nonnegative Borel measure is Carleson or vanishing Carleson and charicterize the boundedness or compactness of the Toeplitz operators by Carleson or vanishing Carleson measure respectively.

探讨加权Bergman空间Ap()上的Carleson型测度和具有非负测度符号的Toeplitz算子,给出Carleson测度或消没Carleson测度的若干等价描述并用Carleson测度的方法刻画了Toeplitz算子是有界的或紧致的充要条件。