Bloch空间的算子C_φD的本性范数

Essential Norms of the Operator C_φD between Bloch Spaces

主要讨论了单位圆盘Bloch上的算子CφD的本性范数.根据定义,计算得到了Bloch上的算子CφD的本性范数的估计,其中下界是精确的,即2limsup|φ(z)|→1(1-|z|2)|φ′(z)|/(1-|φ(z)|2)2≤‖CφD‖e,X→Y≤Climsup|φ(z)|→1(1-|z|2)|φ′(z)|/(1-|φ(z)|2)2.

The essential norms of the operator CφD between Bloch spaces on the unit disk were discussed. The estimates for the essential norms of the operator CφD between Bloch space wereobtained from the definition where the lower bound is accurate.