Reducibility and unitary equivalence of analytic multipliers on Sobolev disk algebra

On quasi-similarity of multiplication operator on the weighted Bergman space in the unit ball

“…For further results related, see [7,13]. Moreover, in 2017, the unitary equivalence of analytic multipliers on Sobolev disk algebra was discussed in [4]. But such a characterization is not always hold for all Hilbert spaces.…”