54 citations · 102 across the 18 of their papers we have counts for
Showing 2009 · math.FAShow all
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math.FA2009
Some Remarks on the Toeplitz Corona problem
Ronald G. Douglas, Jaydeb Sarkar
In a recent paper, Trent and Wick establish a strong relation between the corona problem and the Toeplitz corona problem for a family of spaces over the ball and the polydisk. Thei…
math.FA2009
Reducing Subspaces on the Annulus
Ronald G. Douglas, Yun-Su Kim
We study reducing subspaces for an analytic multiplication operator M_{z^{n}} on the Bergman space L_{a}^{2}(A_{r}) of the annulus A_{r}, and we prove that M_{z^{n}} has exactly 2^…
math.FA2009
Multiplication operators on the Bergman space via analytic continuation
Ronald G. Douglas, Shunhua Sun, Dechao Zheng
In this paper, using the group-like property of local inverses of a finite Blaschke product , we will show that the largest -algebra in the commutant of the multiplication…