Superharmonically weighted Dirichlet spaces admit explicit descriptions of invariant subspaces when the Laplacian measure is finite or countably supported on the circle, and smooth outer functions with regular zero sets are cyclic in the standard case precisely when the associated capacity vanishes.
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Superharmonically Weighted Dirichlet Spaces
Superharmonically weighted Dirichlet spaces admit explicit descriptions of invariant subspaces when the Laplacian measure is finite or countably supported on the circle, and smooth outer functions with regular zero sets are cyclic in the standard case precisely when the associated capacity vanishes.