Rational inner functions with one boundary singularity are claimed to induce unbounded composition operators on the bidisc Bergman space, while stable polynomial symbols give bounded operators between weighted Bergman spaces.
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Composition operators and Rational Inner Functions on the bidisc
Rational inner functions with one boundary singularity are claimed to induce unbounded composition operators on the bidisc Bergman space, while stable polynomial symbols give bounded operators between weighted Bergman spaces.