On the zeros of functions in Dirichlet-type spaces

Pau, Jordi; Peláez, José

doi:10.1090/S0002-9947-2010-05108-6

On the zeros of functions in Dirichlet-type spaces
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by Jordi Pau and José Ángel Peláez PDF

Trans. Amer. Math. Soc. 363 (2011), 1981-2002 Request permission

Abstract:

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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