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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2 Pith papers cite this work. Polarity classification is still indexing.
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Proves compactness criterion for composition operators on weighted Bergman spaces of the polydisc using only the distinguished boundary, with geometric characterizations for beta > d-3.
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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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Compactness of composition operator on weighted Bergman spaces of the polydisc
Proves compactness criterion for composition operators on weighted Bergman spaces of the polydisc using only the distinguished boundary, with geometric characterizations for beta > d-3.