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On the zeros of functions in Dirichlet type spaces

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We study the sequences of zeros for functions in the Dirichlet spaces $ \mathcal{D}_s$. Using Carleson-Newman sequences we prove that there are great similarities for this problem in the case $ 0<s<1$ with that for the classical Dirichlet space.

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Transactions of the American Mathematical Society, 2011, vol. 363, num. 4, p. 1981-2002

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(c) American Mathematical Society (AMS), 2011

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Articles publicats en revistes (Matemàtiques i Informàtica)

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On the zeros of functions in Dirichlet type spaces