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arxiv: 1001.4864 · v1 · pith:QVLCBTP6new · submitted 2010-01-27 · 🧮 math.CV · math.CA

Cantor sets and cyclicity in weighted Dirichlet spaces

classification 🧮 math.CV math.CA
keywords dirichletweightedspacesabsencecantorcarleson-typecharacterizingclassical
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We treat the problem of characterizing the cyclic vectors in the weighted Dirichlet spaces, extending some of our earlier results in the classical Dirichlet space. The absence of a Carleson-type formula for weighted Dirichlet integrals necessitates the introduction of new techniques.

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