Cantor sets and cyclicity in weighted Dirichlet spaces

Details Cantor sets and cyclicity in weighted Dirichlet spaces Cantor sets and cyclicity in weighted Dirichlet spaces

2010-01-27

arxiv.org/abs/1001.4864v1

J. Math. Anal. Appl. 372 (2010) 565-573

Mathematics

Complex Variables

Scientific paper

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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