Differences of integral-type operators from weighted Bergman spaces to Bloch spaces of the unit ball

摘要

We investigate the following integral- type operator P g. ( f)( z) = 1 0 f (.( tz)) g( tz) dt t, z. B, where g. H( B) with g( 0) = 0 and.. S( B), the collection of all the holomorphic self- mappings of B. The boundedness and compactness of the differences of integral- type operators acting from the weighted Bergman space to the Bloch space B ( or the little Bloch space) in the unit ball were characterized. At the same time, we obtained the estimates for the essential norms of the differences.