Boundedness of composition operators induced by rational inner functions on weighted Bergman spaces of the bidisc equals transversal intersection of level sets for non-smooth symbols, assuming high-order tangential intersections at singularities.
Knese,Boundary local integrability of rational functions in two variables, to appear in Trans
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Rational inner functions on the bidisk belong to the studied Dirichlet spaces precisely when their contact order at singular points satisfies a threshold condition.
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Composition operators and Rational Inner Functions on the bidisc: A geometric approach
Boundedness of composition operators induced by rational inner functions on weighted Bergman spaces of the bidisc equals transversal intersection of level sets for non-smooth symbols, assuming high-order tangential intersections at singularities.
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On the membership of two-variable Rational Inner Functions in spaces of Dirichlet-type
Rational inner functions on the bidisk belong to the studied Dirichlet spaces precisely when their contact order at singular points satisfies a threshold condition.