Norm and essential norm of an integral‐type operator from the logarithmic Bloch space to the Bloch‐type space on the unit ball

摘要

We calculate norm and essential norm of an integral‐type operator from the logarithmic Bloch space and the little logarithmic Bloch space to Bloch‐type spaces on the unit ball of ℂn$$ {mathbb{C}}amp;#x0005E;n $$. We show that there is a one‐parameter class of equivalent norms on the logarithmic Bloch space for which the norms can be calculated.