Rational inner functions on the bidisk belong to the studied Dirichlet spaces precisely when their contact order at singular points satisfies a threshold condition.
Bergqvist,Rational Inner Functions and their Dirichlet Type Norms, Computational Methods and Function Theory,23(2023), 563–587
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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.