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Geometric constructions of thin Blaschke products and reducing subspace problem

Geometric constructions of thin Blaschke products and reducing subspace problem

In this paper, we mainly study geometric constructions of thin Blaschke products $B$ and reducing subspace problem of multiplication operators induced by such symbols $B$ on the Bergman space. Considering such multiplication operators $M_B$, we present a representation of those operators commuting with both $M_B$ and $M_B^*$. It is shown …