描述了加权Bergman空间里由解析函数Φ,ψ及u,v诱导的加权复合算子的紧差分。给出了该空间里差分的紧性和本性范数的充分条件。
The compactness of differences of weighted composition operators between weighted Bergman spaces of analytic functions on the open unit disk D in terms of inducing symbols Φ,ψ:D→D and u,v:D→C are characterized.Finally,a sufficient condition for compactness and essential norm of the difference operator between weighted Bergman spaces is given.